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Finding the Fourth Proportional to 82,506.68, 113,833.12 and 48,504.32

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Solution

The fourth proportional to 82,506.68, 113,833.12 and 48,504.32 is: 66,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.68 : 113,833.12 = 48,504.32 : x
  2. Step 2: Convert to fraction form
    82,506.68/113,833.12 = 48,504.32/x
  3. Step 3: Cross multiply
    82,506.68x = 113,833.12 × 48,504.32
  4. Step 4: Simplify right side
    82,506.68x = 5,521,398,079.08
  5. Step 5: Solve for x
    x = 5,521,398,079.08/82,506.68
  6. Step 6: Final answer
    x = 66,920.62

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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.