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Finding the Fourth Proportional to 82,376.64, 123,423.92 and 44,962.98

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Solution

The fourth proportional to 82,376.64, 123,423.92 and 44,962.98 is: 67,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376.64 : 123,423.92 = 44,962.98 : x
  2. Step 2: Convert to fraction form
    82,376.64/123,423.92 = 44,962.98/x
  3. Step 3: Cross multiply
    82,376.64x = 123,423.92 × 44,962.98
  4. Step 4: Simplify right side
    82,376.64x = 5,549,506,727.44
  5. Step 5: Solve for x
    x = 5,549,506,727.44/82,376.64
  6. Step 6: Final answer
    x = 67,367.48

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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.