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Finding the Fourth Proportional to 42,099.30, 58,101.12 and 31,470.48

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Solution

The fourth proportional to 42,099.30, 58,101.12 and 31,470.48 is: 43,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.30 : 58,101.12 = 31,470.48 : x
  2. Step 2: Convert to fraction form
    42,099.30/58,101.12 = 31,470.48/x
  3. Step 3: Cross multiply
    42,099.30x = 58,101.12 × 31,470.48
  4. Step 4: Simplify right side
    42,099.30x = 1,828,470,134.94
  5. Step 5: Solve for x
    x = 1,828,470,134.94/42,099.30
  6. Step 6: Final answer
    x = 43,432.32

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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.