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Finding the Fourth Proportional to 53,643.60, 80,465.40 and 32,878.80

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Solution

The fourth proportional to 53,643.60, 80,465.40 and 32,878.80 is: 49,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.60 : 80,465.40 = 32,878.80 : x
  2. Step 2: Convert to fraction form
    53,643.60/80,465.40 = 32,878.80/x
  3. Step 3: Cross multiply
    53,643.60x = 80,465.40 × 32,878.80
  4. Step 4: Simplify right side
    53,643.60x = 2,645,605,793.52
  5. Step 5: Solve for x
    x = 2,645,605,793.52/53,643.60
  6. Step 6: Final answer
    x = 49,318.20

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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.