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Finding the Fourth Proportional to 98,484, 147,726.18 and 24,612

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Solution

The fourth proportional to 98,484, 147,726.18 and 24,612 is: 36,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,484 : 147,726.18 = 24,612 : x
  2. Step 2: Convert to fraction form
    98,484/147,726.18 = 24,612/x
  3. Step 3: Cross multiply
    98,484x = 147,726.18 × 24,612
  4. Step 4: Simplify right side
    98,484x = 3,635,836,742.16
  5. Step 5: Solve for x
    x = 3,635,836,742.16/98,484
  6. Step 6: Final answer
    x = 36,918.04

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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.