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Finding the Fourth Proportional to 74,226, 111,060 and 52,082.58

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Solution

The fourth proportional to 74,226, 111,060 and 52,082.58 is: 77,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226 : 111,060 = 52,082.58 : x
  2. Step 2: Convert to fraction form
    74,226/111,060 = 52,082.58/x
  3. Step 3: Cross multiply
    74,226x = 111,060 × 52,082.58
  4. Step 4: Simplify right side
    74,226x = 5,784,291,334.80
  5. Step 5: Solve for x
    x = 5,784,291,334.80/74,226
  6. Step 6: Final answer
    x = 77,928.10

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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.