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Finding the Fourth Proportional to 29,646.78, 44,472.46 and 8,587.11

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Solution

The fourth proportional to 29,646.78, 44,472.46 and 8,587.11 is: 12,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646.78 : 44,472.46 = 8,587.11 : x
  2. Step 2: Convert to fraction form
    29,646.78/44,472.46 = 8,587.11/x
  3. Step 3: Cross multiply
    29,646.78x = 44,472.46 × 8,587.11
  4. Step 4: Simplify right side
    29,646.78x = 381,889,905.99
  5. Step 5: Solve for x
    x = 381,889,905.99/29,646.78
  6. Step 6: Final answer
    x = 12,881.33

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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.