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Finding the Fourth Proportional to 98,864.71, 148,293.65 and 27,787.91

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Solution

The fourth proportional to 98,864.71, 148,293.65 and 27,787.91 is: 41,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,864.71 : 148,293.65 = 27,787.91 : x
  2. Step 2: Convert to fraction form
    98,864.71/148,293.65 = 27,787.91/x
  3. Step 3: Cross multiply
    98,864.71x = 148,293.65 × 27,787.91
  4. Step 4: Simplify right side
    98,864.71x = 4,120,769,858.30
  5. Step 5: Solve for x
    x = 4,120,769,858.30/98,864.71
  6. Step 6: Final answer
    x = 41,680.90

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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.