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Finding the Fourth Proportional to 64,294.52, 96,503.98 and 31,038

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Solution

The fourth proportional to 64,294.52, 96,503.98 and 31,038 is: 46,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294.52 : 96,503.98 = 31,038 : x
  2. Step 2: Convert to fraction form
    64,294.52/96,503.98 = 31,038/x
  3. Step 3: Cross multiply
    64,294.52x = 96,503.98 × 31,038
  4. Step 4: Simplify right side
    64,294.52x = 2,995,290,531.24
  5. Step 5: Solve for x
    x = 2,995,290,531.24/64,294.52
  6. Step 6: Final answer
    x = 46,587.03

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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.