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Finding the Fourth Proportional to 98,502, 147,753 and 24,630

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Solution

The fourth proportional to 98,502, 147,753 and 24,630 is: 36,945

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,502 : 147,753 = 24,630 : x
  2. Step 2: Convert to fraction form
    98,502/147,753 = 24,630/x
  3. Step 3: Cross multiply
    98,502x = 147,753 × 24,630
  4. Step 4: Simplify right side
    98,502x = 3,639,156,390
  5. Step 5: Solve for x
    x = 3,639,156,390/98,502
  6. Step 6: Final answer
    x = 36,945

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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.