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Finding the Fourth Proportional to 31,534.74, 47,301.44 and 7,842.32

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Solution

The fourth proportional to 31,534.74, 47,301.44 and 7,842.32 is: 11,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.74 : 47,301.44 = 7,842.32 : x
  2. Step 2: Convert to fraction form
    31,534.74/47,301.44 = 7,842.32/x
  3. Step 3: Cross multiply
    31,534.74x = 47,301.44 × 7,842.32
  4. Step 4: Simplify right side
    31,534.74x = 370,953,028.94
  5. Step 5: Solve for x
    x = 370,953,028.94/31,534.74
  6. Step 6: Final answer
    x = 11,763.31

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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.