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Finding the Fourth Proportional to 59,780.94, 82,497.08 and 32,922.89

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Solution

The fourth proportional to 59,780.94, 82,497.08 and 32,922.89 is: 45,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780.94 : 82,497.08 = 32,922.89 : x
  2. Step 2: Convert to fraction form
    59,780.94/82,497.08 = 32,922.89/x
  3. Step 3: Cross multiply
    59,780.94x = 82,497.08 × 32,922.89
  4. Step 4: Simplify right side
    59,780.94x = 2,716,041,713.06
  5. Step 5: Solve for x
    x = 2,716,041,713.06/59,780.94
  6. Step 6: Final answer
    x = 45,433.24

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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.