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Finding the Fourth Proportional to 52,382.39, 72,288.38 and 29,719.67

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Solution

The fourth proportional to 52,382.39, 72,288.38 and 29,719.67 is: 41,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.39 : 72,288.38 = 29,719.67 : x
  2. Step 2: Convert to fraction form
    52,382.39/72,288.38 = 29,719.67/x
  3. Step 3: Cross multiply
    52,382.39x = 72,288.38 × 29,719.67
  4. Step 4: Simplify right side
    52,382.39x = 2,148,386,511.29
  5. Step 5: Solve for x
    x = 2,148,386,511.29/52,382.39
  6. Step 6: Final answer
    x = 41,013.53

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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.