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Finding the Fourth Proportional to 59,509.65, 82,125.88 and 35,631.76

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Solution

The fourth proportional to 59,509.65, 82,125.88 and 35,631.76 is: 49,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509.65 : 82,125.88 = 35,631.76 : x
  2. Step 2: Convert to fraction form
    59,509.65/82,125.88 = 35,631.76/x
  3. Step 3: Cross multiply
    59,509.65x = 82,125.88 × 35,631.76
  4. Step 4: Simplify right side
    59,509.65x = 2,926,289,645.95
  5. Step 5: Solve for x
    x = 2,926,289,645.95/59,509.65
  6. Step 6: Final answer
    x = 49,173.36

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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.