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Finding the Fourth Proportional to 32,902.50, 49,357.20 and 10,717.60

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Solution

The fourth proportional to 32,902.50, 49,357.20 and 10,717.60 is: 16,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.50 : 49,357.20 = 10,717.60 : x
  2. Step 2: Convert to fraction form
    32,902.50/49,357.20 = 10,717.60/x
  3. Step 3: Cross multiply
    32,902.50x = 49,357.20 × 10,717.60
  4. Step 4: Simplify right side
    32,902.50x = 528,990,726.72
  5. Step 5: Solve for x
    x = 528,990,726.72/32,902.50
  6. Step 6: Final answer
    x = 16,077.52

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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.