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Finding the Fourth Proportional to 42,543.76, 58,704.60 and 23,678.32

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Solution

The fourth proportional to 42,543.76, 58,704.60 and 23,678.32 is: 32,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543.76 : 58,704.60 = 23,678.32 : x
  2. Step 2: Convert to fraction form
    42,543.76/58,704.60 = 23,678.32/x
  3. Step 3: Cross multiply
    42,543.76x = 58,704.60 × 23,678.32
  4. Step 4: Simplify right side
    42,543.76x = 1,390,026,304.27
  5. Step 5: Solve for x
    x = 1,390,026,304.27/42,543.76
  6. Step 6: Final answer
    x = 32,672.86

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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.