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Finding the Fourth Proportional to 47,082, 70,622.86 and 29,564.12

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Solution

The fourth proportional to 47,082, 70,622.86 and 29,564.12 is: 44,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082 : 70,622.86 = 29,564.12 : x
  2. Step 2: Convert to fraction form
    47,082/70,622.86 = 29,564.12/x
  3. Step 3: Cross multiply
    47,082x = 70,622.86 × 29,564.12
  4. Step 4: Simplify right side
    47,082x = 2,087,902,707.78
  5. Step 5: Solve for x
    x = 2,087,902,707.78/47,082
  6. Step 6: Final answer
    x = 44,346.09

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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.