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Finding the Fourth Proportional to 39,602, 54,637.31 and 22,594.03

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Solution

The fourth proportional to 39,602, 54,637.31 and 22,594.03 is: 31,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,602 : 54,637.31 = 22,594.03 : x
  2. Step 2: Convert to fraction form
    39,602/54,637.31 = 22,594.03/x
  3. Step 3: Cross multiply
    39,602x = 54,637.31 × 22,594.03
  4. Step 4: Simplify right side
    39,602x = 1,234,476,635.10
  5. Step 5: Solve for x
    x = 1,234,476,635.10/39,602
  6. Step 6: Final answer
    x = 31,172.08

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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.