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Finding the Fourth Proportional to 39,594, 54,638.10 and 23,687.24

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Solution

The fourth proportional to 39,594, 54,638.10 and 23,687.24 is: 32,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,594 : 54,638.10 = 23,687.24 : x
  2. Step 2: Convert to fraction form
    39,594/54,638.10 = 23,687.24/x
  3. Step 3: Cross multiply
    39,594x = 54,638.10 × 23,687.24
  4. Step 4: Simplify right side
    39,594x = 1,294,225,787.84
  5. Step 5: Solve for x
    x = 1,294,225,787.84/39,594
  6. Step 6: Final answer
    x = 32,687.42

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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.