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Finding the Fourth Proportional to 31,539.60, 47,266.20 and 25,707.60

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Solution

The fourth proportional to 31,539.60, 47,266.20 and 25,707.60 is: 38,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539.60 : 47,266.20 = 25,707.60 : x
  2. Step 2: Convert to fraction form
    31,539.60/47,266.20 = 25,707.60/x
  3. Step 3: Cross multiply
    31,539.60x = 47,266.20 × 25,707.60
  4. Step 4: Simplify right side
    31,539.60x = 1,215,100,563.12
  5. Step 5: Solve for x
    x = 1,215,100,563.12/31,539.60
  6. Step 6: Final answer
    x = 38,526.19

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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.