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Finding the Fourth Proportional to 42,103, 58,102.15 and 23,240.13

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Solution

The fourth proportional to 42,103, 58,102.15 and 23,240.13 is: 32,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,103 : 58,102.15 = 23,240.13 : x
  2. Step 2: Convert to fraction form
    42,103/58,102.15 = 23,240.13/x
  3. Step 3: Cross multiply
    42,103x = 58,102.15 × 23,240.13
  4. Step 4: Simplify right side
    42,103x = 1,350,301,403.08
  5. Step 5: Solve for x
    x = 1,350,301,403.08/42,103
  6. Step 6: Final answer
    x = 32,071.38

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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.