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Finding the Fourth Proportional to 32,143.70, 48,217.80 and 9,954.15

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Solution

The fourth proportional to 32,143.70, 48,217.80 and 9,954.15 is: 14,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.70 : 48,217.80 = 9,954.15 : x
  2. Step 2: Convert to fraction form
    32,143.70/48,217.80 = 9,954.15/x
  3. Step 3: Cross multiply
    32,143.70x = 48,217.80 × 9,954.15
  4. Step 4: Simplify right side
    32,143.70x = 479,967,213.87
  5. Step 5: Solve for x
    x = 479,967,213.87/32,143.70
  6. Step 6: Final answer
    x = 14,931.92

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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.