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Finding the Fourth Proportional to 32,902.39, 49,342.54 and 10,710.55

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Solution

The fourth proportional to 32,902.39, 49,342.54 and 10,710.55 is: 16,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.39 : 49,342.54 = 10,710.55 : x
  2. Step 2: Convert to fraction form
    32,902.39/49,342.54 = 10,710.55/x
  3. Step 3: Cross multiply
    32,902.39x = 49,342.54 × 10,710.55
  4. Step 4: Simplify right side
    32,902.39x = 528,485,591.66
  5. Step 5: Solve for x
    x = 528,485,591.66/32,902.39
  6. Step 6: Final answer
    x = 16,062.23

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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.