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Finding the Fourth Proportional to 82,497.40, 123,746.10 and 29,908.60

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Solution

The fourth proportional to 82,497.40, 123,746.10 and 29,908.60 is: 44,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.40 : 123,746.10 = 29,908.60 : x
  2. Step 2: Convert to fraction form
    82,497.40/123,746.10 = 29,908.60/x
  3. Step 3: Cross multiply
    82,497.40x = 123,746.10 × 29,908.60
  4. Step 4: Simplify right side
    82,497.40x = 3,701,072,606.46
  5. Step 5: Solve for x
    x = 3,701,072,606.46/82,497.40
  6. Step 6: Final answer
    x = 44,862.90

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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.