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Finding the Fourth Proportional to 30,971,714.80, 46,463,773.56 and 17,344,240.80

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Solution

The fourth proportional to 30,971,714.80, 46,463,773.56 and 17,344,240.80 is: 26,019,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971,714.80 : 46,463,773.56 = 17,344,240.80 : x
  2. Step 2: Convert to fraction form
    30,971,714.80/46,463,773.56 = 17,344,240.80/x
  3. Step 3: Cross multiply
    30,971,714.80x = 46,463,773.56 × 17,344,240.80
  4. Step 4: Simplify right side
    30,971,714.80x = 805,878,877,101,313.38
  5. Step 5: Solve for x
    x = 805,878,877,101,313.38/30,971,714.80
  6. Step 6: Final answer
    x = 26,019,833.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.