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Finding the Fourth Proportional to 70,978.65, 106,446.06 and 23,583.66

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Solution

The fourth proportional to 70,978.65, 106,446.06 and 23,583.66 is: 35,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.65 : 106,446.06 = 23,583.66 : x
  2. Step 2: Convert to fraction form
    70,978.65/106,446.06 = 23,583.66/x
  3. Step 3: Cross multiply
    70,978.65x = 106,446.06 × 23,583.66
  4. Step 4: Simplify right side
    70,978.65x = 2,510,387,687.38
  5. Step 5: Solve for x
    x = 2,510,387,687.38/70,978.65
  6. Step 6: Final answer
    x = 35,368.21

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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.