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Finding the Fourth Proportional to 77,266.50, 115,886.46 and 23,230.38

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Solution

The fourth proportional to 77,266.50, 115,886.46 and 23,230.38 is: 34,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,266.50 : 115,886.46 = 23,230.38 : x
  2. Step 2: Convert to fraction form
    77,266.50/115,886.46 = 23,230.38/x
  3. Step 3: Cross multiply
    77,266.50x = 115,886.46 × 23,230.38
  4. Step 4: Simplify right side
    77,266.50x = 2,692,086,502.65
  5. Step 5: Solve for x
    x = 2,692,086,502.65/77,266.50
  6. Step 6: Final answer
    x = 34,841.57

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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.