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Finding the Fourth Proportional to 32,641.52, 48,942.42 and 13,911.08

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Solution

The fourth proportional to 32,641.52, 48,942.42 and 13,911.08 is: 20,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.52 : 48,942.42 = 13,911.08 : x
  2. Step 2: Convert to fraction form
    32,641.52/48,942.42 = 13,911.08/x
  3. Step 3: Cross multiply
    32,641.52x = 48,942.42 × 13,911.08
  4. Step 4: Simplify right side
    32,641.52x = 680,841,920.01
  5. Step 5: Solve for x
    x = 680,841,920.01/32,641.52
  6. Step 6: Final answer
    x = 20,858.16

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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.