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Finding the Fourth Proportional to 82,484.68, 123,726.96 and 29,894.08

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Solution

The fourth proportional to 82,484.68, 123,726.96 and 29,894.08 is: 44,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484.68 : 123,726.96 = 29,894.08 : x
  2. Step 2: Convert to fraction form
    82,484.68/123,726.96 = 29,894.08/x
  3. Step 3: Cross multiply
    82,484.68x = 123,726.96 × 29,894.08
  4. Step 4: Simplify right side
    82,484.68x = 3,698,703,640.40
  5. Step 5: Solve for x
    x = 3,698,703,640.40/82,484.68
  6. Step 6: Final answer
    x = 44,841.10

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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.