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Finding the Fourth Proportional to 81,534.20, 112,509.40 and 45,716

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Solution

The fourth proportional to 81,534.20, 112,509.40 and 45,716 is: 63,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.20 : 112,509.40 = 45,716 : x
  2. Step 2: Convert to fraction form
    81,534.20/112,509.40 = 45,716/x
  3. Step 3: Cross multiply
    81,534.20x = 112,509.40 × 45,716
  4. Step 4: Simplify right side
    81,534.20x = 5,143,479,730.40
  5. Step 5: Solve for x
    x = 5,143,479,730.40/81,534.20
  6. Step 6: Final answer
    x = 63,083.71

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