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Finding the Fourth Proportional to 42,102.25, 58,101.11 and 23,239.38

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Solution

The fourth proportional to 42,102.25, 58,101.11 and 23,239.38 is: 32,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.25 : 58,101.11 = 23,239.38 : x
  2. Step 2: Convert to fraction form
    42,102.25/58,101.11 = 23,239.38/x
  3. Step 3: Cross multiply
    42,102.25x = 58,101.11 × 23,239.38
  4. Step 4: Simplify right side
    42,102.25x = 1,350,233,773.71
  5. Step 5: Solve for x
    x = 1,350,233,773.71/42,102.25
  6. Step 6: Final answer
    x = 32,070.35

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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.