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Finding the Fourth Proportional to 53,877.60, 80,816.40 and 32,882.40

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Solution

The fourth proportional to 53,877.60, 80,816.40 and 32,882.40 is: 49,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,877.60 : 80,816.40 = 32,882.40 : x
  2. Step 2: Convert to fraction form
    53,877.60/80,816.40 = 32,882.40/x
  3. Step 3: Cross multiply
    53,877.60x = 80,816.40 × 32,882.40
  4. Step 4: Simplify right side
    53,877.60x = 2,657,437,191.36
  5. Step 5: Solve for x
    x = 2,657,437,191.36/53,877.60
  6. Step 6: Final answer
    x = 49,323.60

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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.