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Finding the Fourth Proportional to 32,902.40, 49,353.60 and 12,123.20

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Solution

The fourth proportional to 32,902.40, 49,353.60 and 12,123.20 is: 18,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.40 : 49,353.60 = 12,123.20 : x
  2. Step 2: Convert to fraction form
    32,902.40/49,353.60 = 12,123.20/x
  3. Step 3: Cross multiply
    32,902.40x = 49,353.60 × 12,123.20
  4. Step 4: Simplify right side
    32,902.40x = 598,323,563.52
  5. Step 5: Solve for x
    x = 598,323,563.52/32,902.40
  6. Step 6: Final answer
    x = 18,184.80

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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.