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Finding the Fourth Proportional to 82,235.60, 113,561.16 and 65,589.20

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Solution

The fourth proportional to 82,235.60, 113,561.16 and 65,589.20 is: 90,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,235.60 : 113,561.16 = 65,589.20 : x
  2. Step 2: Convert to fraction form
    82,235.60/113,561.16 = 65,589.20/x
  3. Step 3: Cross multiply
    82,235.60x = 113,561.16 × 65,589.20
  4. Step 4: Simplify right side
    82,235.60x = 7,448,385,635.47
  5. Step 5: Solve for x
    x = 7,448,385,635.47/82,235.60
  6. Step 6: Final answer
    x = 90,573.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.