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Finding the Fourth Proportional to 29,902.60, 44,838.78 and 9,123.40

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Solution

The fourth proportional to 29,902.60, 44,838.78 and 9,123.40 is: 13,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.60 : 44,838.78 = 9,123.40 : x
  2. Step 2: Convert to fraction form
    29,902.60/44,838.78 = 9,123.40/x
  3. Step 3: Cross multiply
    29,902.60x = 44,838.78 × 9,123.40
  4. Step 4: Simplify right side
    29,902.60x = 409,082,125.45
  5. Step 5: Solve for x
    x = 409,082,125.45/29,902.60
  6. Step 6: Final answer
    x = 13,680.49

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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.