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Finding the Fourth Proportional to 32,638.52, 48,973.08 and 22,658.60

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Solution

The fourth proportional to 32,638.52, 48,973.08 and 22,658.60 is: 33,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.52 : 48,973.08 = 22,658.60 : x
  2. Step 2: Convert to fraction form
    32,638.52/48,973.08 = 22,658.60/x
  3. Step 3: Cross multiply
    32,638.52x = 48,973.08 × 22,658.60
  4. Step 4: Simplify right side
    32,638.52x = 1,109,661,430.49
  5. Step 5: Solve for x
    x = 1,109,661,430.49/32,638.52
  6. Step 6: Final answer
    x = 33,998.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.