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Finding the Fourth Proportional to 42,457.92, 58,575.60 and 27,349.40

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Solution

The fourth proportional to 42,457.92, 58,575.60 and 27,349.40 is: 37,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.92 : 58,575.60 = 27,349.40 : x
  2. Step 2: Convert to fraction form
    42,457.92/58,575.60 = 27,349.40/x
  3. Step 3: Cross multiply
    42,457.92x = 58,575.60 × 27,349.40
  4. Step 4: Simplify right side
    42,457.92x = 1,602,007,221.76
  5. Step 5: Solve for x
    x = 1,602,007,221.76/42,457.92
  6. Step 6: Final answer
    x = 37,731.65

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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.