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Finding the Fourth Proportional to 29,460, 44,179.20 and 9,732.96

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Solution

The fourth proportional to 29,460, 44,179.20 and 9,732.96 is: 14,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,460 : 44,179.20 = 9,732.96 : x
  2. Step 2: Convert to fraction form
    29,460/44,179.20 = 9,732.96/x
  3. Step 3: Cross multiply
    29,460x = 44,179.20 × 9,732.96
  4. Step 4: Simplify right side
    29,460x = 429,994,386.43
  5. Step 5: Solve for x
    x = 429,994,386.43/29,460
  6. Step 6: Final answer
    x = 14,595.87

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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.