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Finding the Fourth Proportional to 64,901.98, 97,315.71 and 25,412.86

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Solution

The fourth proportional to 64,901.98, 97,315.71 and 25,412.86 is: 38,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,901.98 : 97,315.71 = 25,412.86 : x
  2. Step 2: Convert to fraction form
    64,901.98/97,315.71 = 25,412.86/x
  3. Step 3: Cross multiply
    64,901.98x = 97,315.71 × 25,412.86
  4. Step 4: Simplify right side
    64,901.98x = 2,473,070,514.03
  5. Step 5: Solve for x
    x = 2,473,070,514.03/64,901.98
  6. Step 6: Final answer
    x = 38,104.70

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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.