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Finding the Fourth Proportional to 98,286.30, 147,429.45 and 24,414.30

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Solution

The fourth proportional to 98,286.30, 147,429.45 and 24,414.30 is: 36,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286.30 : 147,429.45 = 24,414.30 : x
  2. Step 2: Convert to fraction form
    98,286.30/147,429.45 = 24,414.30/x
  3. Step 3: Cross multiply
    98,286.30x = 147,429.45 × 24,414.30
  4. Step 4: Simplify right side
    98,286.30x = 3,599,386,821.14
  5. Step 5: Solve for x
    x = 3,599,386,821.14/98,286.30
  6. Step 6: Final answer
    x = 36,621.45

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1.5x scale

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.