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Finding the Fourth Proportional to 83,097.30, 114,729.12 and 51,312.90

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Solution

The fourth proportional to 83,097.30, 114,729.12 and 51,312.90 is: 70,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,097.30 : 114,729.12 = 51,312.90 : x
  2. Step 2: Convert to fraction form
    83,097.30/114,729.12 = 51,312.90/x
  3. Step 3: Cross multiply
    83,097.30x = 114,729.12 × 51,312.90
  4. Step 4: Simplify right side
    83,097.30x = 5,887,083,861.65
  5. Step 5: Solve for x
    x = 5,887,083,861.65/83,097.30
  6. Step 6: Final answer
    x = 70,845.67

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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.