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Finding the Fourth Proportional to 31,535.42, 47,301.75 and 7,842.47

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Solution

The fourth proportional to 31,535.42, 47,301.75 and 7,842.47 is: 11,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.42 : 47,301.75 = 7,842.47 : x
  2. Step 2: Convert to fraction form
    31,535.42/47,301.75 = 7,842.47/x
  3. Step 3: Cross multiply
    31,535.42x = 47,301.75 × 7,842.47
  4. Step 4: Simplify right side
    31,535.42x = 370,962,555.32
  5. Step 5: Solve for x
    x = 370,962,555.32/31,535.42
  6. Step 6: Final answer
    x = 11,763.36

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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.