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Finding the Fourth Proportional to 42,566.34, 58,741.02 and 23,445.66

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Solution

The fourth proportional to 42,566.34, 58,741.02 and 23,445.66 is: 32,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,566.34 : 58,741.02 = 23,445.66 : x
  2. Step 2: Convert to fraction form
    42,566.34/58,741.02 = 23,445.66/x
  3. Step 3: Cross multiply
    42,566.34x = 58,741.02 × 23,445.66
  4. Step 4: Simplify right side
    42,566.34x = 1,377,221,982.97
  5. Step 5: Solve for x
    x = 1,377,221,982.97/42,566.34
  6. Step 6: Final answer
    x = 32,354.72

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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.