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Finding the Fourth Proportional to 52,382.30, 78,580.78 and 16,831.67

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Solution

The fourth proportional to 52,382.30, 78,580.78 and 16,831.67 is: 25,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.30 : 78,580.78 = 16,831.67 : x
  2. Step 2: Convert to fraction form
    52,382.30/78,580.78 = 16,831.67/x
  3. Step 3: Cross multiply
    52,382.30x = 78,580.78 × 16,831.67
  4. Step 4: Simplify right side
    52,382.30x = 1,322,645,322.32
  5. Step 5: Solve for x
    x = 1,322,645,322.32/52,382.30
  6. Step 6: Final answer
    x = 25,249.85

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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.