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Finding the Fourth Proportional to 30,710, 46,063.17 and 18,066.86

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Solution

The fourth proportional to 30,710, 46,063.17 and 18,066.86 is: 27,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710 : 46,063.17 = 18,066.86 : x
  2. Step 2: Convert to fraction form
    30,710/46,063.17 = 18,066.86/x
  3. Step 3: Cross multiply
    30,710x = 46,063.17 × 18,066.86
  4. Step 4: Simplify right side
    30,710x = 832,216,843.55
  5. Step 5: Solve for x
    x = 832,216,843.55/30,710
  6. Step 6: Final answer
    x = 27,099.21

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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.