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Finding the Fourth Proportional to 32,707.80, 49,061.75 and 9,334.24

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Solution

The fourth proportional to 32,707.80, 49,061.75 and 9,334.24 is: 14,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.80 : 49,061.75 = 9,334.24 : x
  2. Step 2: Convert to fraction form
    32,707.80/49,061.75 = 9,334.24/x
  3. Step 3: Cross multiply
    32,707.80x = 49,061.75 × 9,334.24
  4. Step 4: Simplify right side
    32,707.80x = 457,954,149.32
  5. Step 5: Solve for x
    x = 457,954,149.32/32,707.80
  6. Step 6: Final answer
    x = 14,001.37

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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.