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Finding the Fourth Proportional to 83,281.37, 114,900.32 and 47,446.16

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Solution

The fourth proportional to 83,281.37, 114,900.32 and 47,446.16 is: 65,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.37 : 114,900.32 = 47,446.16 : x
  2. Step 2: Convert to fraction form
    83,281.37/114,900.32 = 47,446.16/x
  3. Step 3: Cross multiply
    83,281.37x = 114,900.32 × 47,446.16
  4. Step 4: Simplify right side
    83,281.37x = 5,451,578,510.88
  5. Step 5: Solve for x
    x = 5,451,578,510.88/83,281.37
  6. Step 6: Final answer
    x = 65,459.76

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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.