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Finding the Fourth Proportional to 42,105.78, 58,105.92 and 23,242.86

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Solution

The fourth proportional to 42,105.78, 58,105.92 and 23,242.86 is: 32,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.78 : 58,105.92 = 23,242.86 : x
  2. Step 2: Convert to fraction form
    42,105.78/58,105.92 = 23,242.86/x
  3. Step 3: Cross multiply
    42,105.78x = 58,105.92 × 23,242.86
  4. Step 4: Simplify right side
    42,105.78x = 1,350,547,763.73
  5. Step 5: Solve for x
    x = 1,350,547,763.73/42,105.78
  6. Step 6: Final answer
    x = 32,075.12

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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.