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Finding the Fourth Proportional to 29,451.76, 44,184.47 and 15,419.42

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Solution

The fourth proportional to 29,451.76, 44,184.47 and 15,419.42 is: 23,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451.76 : 44,184.47 = 15,419.42 : x
  2. Step 2: Convert to fraction form
    29,451.76/44,184.47 = 15,419.42/x
  3. Step 3: Cross multiply
    29,451.76x = 44,184.47 × 15,419.42
  4. Step 4: Simplify right side
    29,451.76x = 681,298,602.39
  5. Step 5: Solve for x
    x = 681,298,602.39/29,451.76
  6. Step 6: Final answer
    x = 23,132.70

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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.