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Finding the Fourth Proportional to 70,966.38, 97,929.13 and 40,730.42

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Solution

The fourth proportional to 70,966.38, 97,929.13 and 40,730.42 is: 56,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966.38 : 97,929.13 = 40,730.42 : x
  2. Step 2: Convert to fraction form
    70,966.38/97,929.13 = 40,730.42/x
  3. Step 3: Cross multiply
    70,966.38x = 97,929.13 × 40,730.42
  4. Step 4: Simplify right side
    70,966.38x = 3,988,694,595.13
  5. Step 5: Solve for x
    x = 3,988,694,595.13/70,966.38
  6. Step 6: Final answer
    x = 56,205.41

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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.