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Finding the Fourth Proportional to 47,951.95, 66,172.39 and 27,807.55

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Solution

The fourth proportional to 47,951.95, 66,172.39 and 27,807.55 is: 38,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951.95 : 66,172.39 = 27,807.55 : x
  2. Step 2: Convert to fraction form
    47,951.95/66,172.39 = 27,807.55/x
  3. Step 3: Cross multiply
    47,951.95x = 66,172.39 × 27,807.55
  4. Step 4: Simplify right side
    47,951.95x = 1,840,092,337.23
  5. Step 5: Solve for x
    x = 1,840,092,337.23/47,951.95
  6. Step 6: Final answer
    x = 38,373.67

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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.