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Finding the Fourth Proportional to 78,227.17, 117,349.76 and 28,330.76

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Solution

The fourth proportional to 78,227.17, 117,349.76 and 28,330.76 is: 42,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,227.17 : 117,349.76 = 28,330.76 : x
  2. Step 2: Convert to fraction form
    78,227.17/117,349.76 = 28,330.76/x
  3. Step 3: Cross multiply
    78,227.17x = 117,349.76 × 28,330.76
  4. Step 4: Simplify right side
    78,227.17x = 3,324,608,250.82
  5. Step 5: Solve for x
    x = 3,324,608,250.82/78,227.17
  6. Step 6: Final answer
    x = 42,499.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.