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Finding the Fourth Proportional to 71,026.38, 98,028 and 42,349.68

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Solution

The fourth proportional to 71,026.38, 98,028 and 42,349.68 is: 58,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026.38 : 98,028 = 42,349.68 : x
  2. Step 2: Convert to fraction form
    71,026.38/98,028 = 42,349.68/x
  3. Step 3: Cross multiply
    71,026.38x = 98,028 × 42,349.68
  4. Step 4: Simplify right side
    71,026.38x = 4,151,454,431.04
  5. Step 5: Solve for x
    x = 4,151,454,431.04/71,026.38
  6. Step 6: Final answer
    x = 58,449.47

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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.