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Finding the Fourth Proportional to 123,411.25, 185,116.88 and 29,917

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Solution

The fourth proportional to 123,411.25, 185,116.88 and 29,917 is: 44,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411.25 : 185,116.88 = 29,917 : x
  2. Step 2: Convert to fraction form
    123,411.25/185,116.88 = 29,917/x
  3. Step 3: Cross multiply
    123,411.25x = 185,116.88 × 29,917
  4. Step 4: Simplify right side
    123,411.25x = 5,538,141,698.96
  5. Step 5: Solve for x
    x = 5,538,141,698.96/123,411.25
  6. Step 6: Final answer
    x = 44,875.50

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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.