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Finding the Fourth Proportional to 42,538.50, 58,703.13 and 23,679.27

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Solution

The fourth proportional to 42,538.50, 58,703.13 and 23,679.27 is: 32,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.50 : 58,703.13 = 23,679.27 : x
  2. Step 2: Convert to fraction form
    42,538.50/58,703.13 = 23,679.27/x
  3. Step 3: Cross multiply
    42,538.50x = 58,703.13 × 23,679.27
  4. Step 4: Simplify right side
    42,538.50x = 1,390,047,265.12
  5. Step 5: Solve for x
    x = 1,390,047,265.12/42,538.50
  6. Step 6: Final answer
    x = 32,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.