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Finding the Fourth Proportional to 59,984.48, 82,717.32 and 36,106.40

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Solution

The fourth proportional to 59,984.48, 82,717.32 and 36,106.40 is: 49,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984.48 : 82,717.32 = 36,106.40 : x
  2. Step 2: Convert to fraction form
    59,984.48/82,717.32 = 36,106.40/x
  3. Step 3: Cross multiply
    59,984.48x = 82,717.32 × 36,106.40
  4. Step 4: Simplify right side
    59,984.48x = 2,986,624,642.85
  5. Step 5: Solve for x
    x = 2,986,624,642.85/59,984.48
  6. Step 6: Final answer
    x = 49,789.96

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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.