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Finding the Fourth Proportional to 81,471.07, 112,429.80 and 47,499.67

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Solution

The fourth proportional to 81,471.07, 112,429.80 and 47,499.67 is: 65,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471.07 : 112,429.80 = 47,499.67 : x
  2. Step 2: Convert to fraction form
    81,471.07/112,429.80 = 47,499.67/x
  3. Step 3: Cross multiply
    81,471.07x = 112,429.80 × 47,499.67
  4. Step 4: Simplify right side
    81,471.07x = 5,340,378,398.17
  5. Step 5: Solve for x
    x = 5,340,378,398.17/81,471.07
  6. Step 6: Final answer
    x = 65,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.