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Finding the Fourth Proportional to 42,542, 58,707.96 and 23,682.77

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Solution

The fourth proportional to 42,542, 58,707.96 and 23,682.77 is: 32,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542 : 58,707.96 = 23,682.77 : x
  2. Step 2: Convert to fraction form
    42,542/58,707.96 = 23,682.77/x
  3. Step 3: Cross multiply
    42,542x = 58,707.96 × 23,682.77
  4. Step 4: Simplify right side
    42,542x = 1,390,367,113.85
  5. Step 5: Solve for x
    x = 1,390,367,113.85/42,542
  6. Step 6: Final answer
    x = 32,682.22

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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.