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Finding the Fourth Proportional to 98,481, 147,721.50 and 24,609

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Solution

The fourth proportional to 98,481, 147,721.50 and 24,609 is: 36,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,481 : 147,721.50 = 24,609 : x
  2. Step 2: Convert to fraction form
    98,481/147,721.50 = 24,609/x
  3. Step 3: Cross multiply
    98,481x = 147,721.50 × 24,609
  4. Step 4: Simplify right side
    98,481x = 3,635,278,393.50
  5. Step 5: Solve for x
    x = 3,635,278,393.50/98,481
  6. Step 6: Final answer
    x = 36,913.50

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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.