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Finding the Fourth Proportional to 82,575.82, 113,935.11 and 48,585.79

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Solution

The fourth proportional to 82,575.82, 113,935.11 and 48,585.79 is: 67,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.82 : 113,935.11 = 48,585.79 : x
  2. Step 2: Convert to fraction form
    82,575.82/113,935.11 = 48,585.79/x
  3. Step 3: Cross multiply
    82,575.82x = 113,935.11 × 48,585.79
  4. Step 4: Simplify right side
    82,575.82x = 5,535,627,328.09
  5. Step 5: Solve for x
    x = 5,535,627,328.09/82,575.82
  6. Step 6: Final answer
    x = 67,036.90

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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.