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Finding the Fourth Proportional to 29,411.54, 44,116.61 and 7,224.88

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Solution

The fourth proportional to 29,411.54, 44,116.61 and 7,224.88 is: 10,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411.54 : 44,116.61 = 7,224.88 : x
  2. Step 2: Convert to fraction form
    29,411.54/44,116.61 = 7,224.88/x
  3. Step 3: Cross multiply
    29,411.54x = 44,116.61 × 7,224.88
  4. Step 4: Simplify right side
    29,411.54x = 318,736,956.55
  5. Step 5: Solve for x
    x = 318,736,956.55/29,411.54
  6. Step 6: Final answer
    x = 10,837.14

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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.