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Finding the Fourth Proportional to 42,410.77, 58,527.97 and 23,291.78

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Solution

The fourth proportional to 42,410.77, 58,527.97 and 23,291.78 is: 32,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,410.77 : 58,527.97 = 23,291.78 : x
  2. Step 2: Convert to fraction form
    42,410.77/58,527.97 = 23,291.78/x
  3. Step 3: Cross multiply
    42,410.77x = 58,527.97 × 23,291.78
  4. Step 4: Simplify right side
    42,410.77x = 1,363,220,250.22
  5. Step 5: Solve for x
    x = 1,363,220,250.22/42,410.77
  6. Step 6: Final answer
    x = 32,143.26

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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.