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Finding the Fourth Proportional to 102,016.80, 153,025.20 and 31,917.60

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Solution

The fourth proportional to 102,016.80, 153,025.20 and 31,917.60 is: 47,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.80 : 153,025.20 = 31,917.60 : x
  2. Step 2: Convert to fraction form
    102,016.80/153,025.20 = 31,917.60/x
  3. Step 3: Cross multiply
    102,016.80x = 153,025.20 × 31,917.60
  4. Step 4: Simplify right side
    102,016.80x = 4,884,197,123.52
  5. Step 5: Solve for x
    x = 4,884,197,123.52/102,016.80
  6. Step 6: Final answer
    x = 47,876.40

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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.