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Finding the Fourth Proportional to 82,859.91, 124,262.51 and 32,952.39

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Solution

The fourth proportional to 82,859.91, 124,262.51 and 32,952.39 is: 49,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.91 : 124,262.51 = 32,952.39 : x
  2. Step 2: Convert to fraction form
    82,859.91/124,262.51 = 32,952.39/x
  3. Step 3: Cross multiply
    82,859.91x = 124,262.51 × 32,952.39
  4. Step 4: Simplify right side
    82,859.91x = 4,094,746,527.14
  5. Step 5: Solve for x
    x = 4,094,746,527.14/82,859.91
  6. Step 6: Final answer
    x = 49,417.70

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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.