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Finding the Fourth Proportional to 56,842.47, 78,447.06 and 31,351.14

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Solution

The fourth proportional to 56,842.47, 78,447.06 and 31,351.14 is: 43,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,842.47 : 78,447.06 = 31,351.14 : x
  2. Step 2: Convert to fraction form
    56,842.47/78,447.06 = 31,351.14/x
  3. Step 3: Cross multiply
    56,842.47x = 78,447.06 × 31,351.14
  4. Step 4: Simplify right side
    56,842.47x = 2,459,404,760.65
  5. Step 5: Solve for x
    x = 2,459,404,760.65/56,842.47
  6. Step 6: Final answer
    x = 43,267.03

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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.