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Finding the Fourth Proportional to 32,641.88, 45,046.07 and 17,737.88

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Solution

The fourth proportional to 32,641.88, 45,046.07 and 17,737.88 is: 24,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.88 : 45,046.07 = 17,737.88 : x
  2. Step 2: Convert to fraction form
    32,641.88/45,046.07 = 17,737.88/x
  3. Step 3: Cross multiply
    32,641.88x = 45,046.07 × 17,737.88
  4. Step 4: Simplify right side
    32,641.88x = 799,021,603.25
  5. Step 5: Solve for x
    x = 799,021,603.25/32,641.88
  6. Step 6: Final answer
    x = 24,478.42

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1.5x scale

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.