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Finding the Fourth Proportional to 75,082, 112,533.12 and 35,047.12

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Solution

The fourth proportional to 75,082, 112,533.12 and 35,047.12 is: 52,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082 : 112,533.12 = 35,047.12 : x
  2. Step 2: Convert to fraction form
    75,082/112,533.12 = 35,047.12/x
  3. Step 3: Cross multiply
    75,082x = 112,533.12 × 35,047.12
  4. Step 4: Simplify right side
    75,082x = 3,943,961,760.61
  5. Step 5: Solve for x
    x = 3,943,961,760.61/75,082
  6. Step 6: Final answer
    x = 52,528.73

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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.