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Finding the Fourth Proportional to 57,024, 78,693.12 and 31,878.72

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Solution

The fourth proportional to 57,024, 78,693.12 and 31,878.72 is: 43,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 78,693.12 = 31,878.72 : x
  2. Step 2: Convert to fraction form
    57,024/78,693.12 = 31,878.72/x
  3. Step 3: Cross multiply
    57,024x = 78,693.12 × 31,878.72
  4. Step 4: Simplify right side
    57,024x = 2,508,635,938.41
  5. Step 5: Solve for x
    x = 2,508,635,938.41/57,024
  6. Step 6: Final answer
    x = 43,992.63

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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.