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Finding the Fourth Proportional to 29,801.30, 44,708.07 and 8,742.02

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Solution

The fourth proportional to 29,801.30, 44,708.07 and 8,742.02 is: 13,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.30 : 44,708.07 = 8,742.02 : x
  2. Step 2: Convert to fraction form
    29,801.30/44,708.07 = 8,742.02/x
  3. Step 3: Cross multiply
    29,801.30x = 44,708.07 × 8,742.02
  4. Step 4: Simplify right side
    29,801.30x = 390,838,618.56
  5. Step 5: Solve for x
    x = 390,838,618.56/29,801.30
  6. Step 6: Final answer
    x = 13,114.82

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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.