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Finding the Fourth Proportional to 82,942.39, 114,459.92 and 45,216.91

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Solution

The fourth proportional to 82,942.39, 114,459.92 and 45,216.91 is: 62,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,942.39 : 114,459.92 = 45,216.91 : x
  2. Step 2: Convert to fraction form
    82,942.39/114,459.92 = 45,216.91/x
  3. Step 3: Cross multiply
    82,942.39x = 114,459.92 × 45,216.91
  4. Step 4: Simplify right side
    82,942.39x = 5,175,523,675.16
  5. Step 5: Solve for x
    x = 5,175,523,675.16/82,942.39
  6. Step 6: Final answer
    x = 62,399.02

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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.