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Finding the Fourth Proportional to 70,727.43, 97,602 and 42,047.14

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Solution

The fourth proportional to 70,727.43, 97,602 and 42,047.14 is: 58,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,727.43 : 97,602 = 42,047.14 : x
  2. Step 2: Convert to fraction form
    70,727.43/97,602 = 42,047.14/x
  3. Step 3: Cross multiply
    70,727.43x = 97,602 × 42,047.14
  4. Step 4: Simplify right side
    70,727.43x = 4,103,884,958.28
  5. Step 5: Solve for x
    x = 4,103,884,958.28/70,727.43
  6. Step 6: Final answer
    x = 58,023.95

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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.