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Finding the Fourth Proportional to 42,111.76, 58,114.10 and 23,248.76

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Solution

The fourth proportional to 42,111.76, 58,114.10 and 23,248.76 is: 32,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111.76 : 58,114.10 = 23,248.76 : x
  2. Step 2: Convert to fraction form
    42,111.76/58,114.10 = 23,248.76/x
  3. Step 3: Cross multiply
    42,111.76x = 58,114.10 × 23,248.76
  4. Step 4: Simplify right side
    42,111.76x = 1,351,080,763.52
  5. Step 5: Solve for x
    x = 1,351,080,763.52/42,111.76
  6. Step 6: Final answer
    x = 32,083.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.