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Finding the Fourth Proportional to 29,461.68, 44,196.24 and 8,685.60

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Solution

The fourth proportional to 29,461.68, 44,196.24 and 8,685.60 is: 13,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.68 : 44,196.24 = 8,685.60 : x
  2. Step 2: Convert to fraction form
    29,461.68/44,196.24 = 8,685.60/x
  3. Step 3: Cross multiply
    29,461.68x = 44,196.24 × 8,685.60
  4. Step 4: Simplify right side
    29,461.68x = 383,870,862.14
  5. Step 5: Solve for x
    x = 383,870,862.14/29,461.68
  6. Step 6: Final answer
    x = 13,029.50

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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.