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Finding the Fourth Proportional to 31,707.48, 43,762.50 and 18,278.22

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Solution

The fourth proportional to 31,707.48, 43,762.50 and 18,278.22 is: 25,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.48 : 43,762.50 = 18,278.22 : x
  2. Step 2: Convert to fraction form
    31,707.48/43,762.50 = 18,278.22/x
  3. Step 3: Cross multiply
    31,707.48x = 43,762.50 × 18,278.22
  4. Step 4: Simplify right side
    31,707.48x = 799,900,602.75
  5. Step 5: Solve for x
    x = 799,900,602.75/31,707.48
  6. Step 6: Final answer
    x = 25,227.50

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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.