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Finding the Fourth Proportional to 52,227.16, 78,340.74 and 30,074.20

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Solution

The fourth proportional to 52,227.16, 78,340.74 and 30,074.20 is: 45,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.16 : 78,340.74 = 30,074.20 : x
  2. Step 2: Convert to fraction form
    52,227.16/78,340.74 = 30,074.20/x
  3. Step 3: Cross multiply
    52,227.16x = 78,340.74 × 30,074.20
  4. Step 4: Simplify right side
    52,227.16x = 2,356,035,082.91
  5. Step 5: Solve for x
    x = 2,356,035,082.91/52,227.16
  6. Step 6: Final answer
    x = 45,111.30

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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.