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Finding the Fourth Proportional to 70,229.19, 96,916.29 and 38,398.11

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Solution

The fourth proportional to 70,229.19, 96,916.29 and 38,398.11 is: 52,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,229.19 : 96,916.29 = 38,398.11 : x
  2. Step 2: Convert to fraction form
    70,229.19/96,916.29 = 38,398.11/x
  3. Step 3: Cross multiply
    70,229.19x = 96,916.29 × 38,398.11
  4. Step 4: Simplify right side
    70,229.19x = 3,721,402,364.21
  5. Step 5: Solve for x
    x = 3,721,402,364.21/70,229.19
  6. Step 6: Final answer
    x = 52,989.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.