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Finding the Fourth Proportional to 29,532.60, 44,306.40 and 9,811.28

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Solution

The fourth proportional to 29,532.60, 44,306.40 and 9,811.28 is: 14,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532.60 : 44,306.40 = 9,811.28 : x
  2. Step 2: Convert to fraction form
    29,532.60/44,306.40 = 9,811.28/x
  3. Step 3: Cross multiply
    29,532.60x = 44,306.40 × 9,811.28
  4. Step 4: Simplify right side
    29,532.60x = 434,702,496.19
  5. Step 5: Solve for x
    x = 434,702,496.19/29,532.60
  6. Step 6: Final answer
    x = 14,719.41

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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.