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Finding the Fourth Proportional to 42,309.75, 58,387.86 and 23,447.28

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Solution

The fourth proportional to 42,309.75, 58,387.86 and 23,447.28 is: 32,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.75 : 58,387.86 = 23,447.28 : x
  2. Step 2: Convert to fraction form
    42,309.75/58,387.86 = 23,447.28/x
  3. Step 3: Cross multiply
    42,309.75x = 58,387.86 × 23,447.28
  4. Step 4: Simplify right side
    42,309.75x = 1,369,036,502.02
  5. Step 5: Solve for x
    x = 1,369,036,502.02/42,309.75
  6. Step 6: Final answer
    x = 32,357.47

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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.