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Finding the Fourth Proportional to 32,102.70, 48,146.76 and 15,454.23

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Solution

The fourth proportional to 32,102.70, 48,146.76 and 15,454.23 is: 23,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.70 : 48,146.76 = 15,454.23 : x
  2. Step 2: Convert to fraction form
    32,102.70/48,146.76 = 15,454.23/x
  3. Step 3: Cross multiply
    32,102.70x = 48,146.76 × 15,454.23
  4. Step 4: Simplify right side
    32,102.70x = 744,071,102.79
  5. Step 5: Solve for x
    x = 744,071,102.79/32,102.70
  6. Step 6: Final answer
    x = 23,177.84

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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.