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Finding the Fourth Proportional to 5,161,472.82, 7,741,708.95 and 1,567,271.36

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Solution

The fourth proportional to 5,161,472.82, 7,741,708.95 and 1,567,271.36 is: 2,350,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161,472.82 : 7,741,708.95 = 1,567,271.36 : x
  2. Step 2: Convert to fraction form
    5,161,472.82/7,741,708.95 = 1,567,271.36/x
  3. Step 3: Cross multiply
    5,161,472.82x = 7,741,708.95 × 1,567,271.36
  4. Step 4: Simplify right side
    5,161,472.82x = 12,133,358,676,082.13
  5. Step 5: Solve for x
    x = 12,133,358,676,082.13/5,161,472.82
  6. Step 6: Final answer
    x = 2,350,755.12

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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.