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Finding the Fourth Proportional to 84,322.50, 126,471 and 31,719.76

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Solution

The fourth proportional to 84,322.50, 126,471 and 31,719.76 is: 47,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,322.50 : 126,471 = 31,719.76 : x
  2. Step 2: Convert to fraction form
    84,322.50/126,471 = 31,719.76/x
  3. Step 3: Cross multiply
    84,322.50x = 126,471 × 31,719.76
  4. Step 4: Simplify right side
    84,322.50x = 4,011,629,766.96
  5. Step 5: Solve for x
    x = 4,011,629,766.96/84,322.50
  6. Step 6: Final answer
    x = 47,574.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.