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Finding the Fourth Proportional to 32,674.66, 49,011.75 and 9,301.06

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Solution

The fourth proportional to 32,674.66, 49,011.75 and 9,301.06 is: 13,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.66 : 49,011.75 = 9,301.06 : x
  2. Step 2: Convert to fraction form
    32,674.66/49,011.75 = 9,301.06/x
  3. Step 3: Cross multiply
    32,674.66x = 49,011.75 × 9,301.06
  4. Step 4: Simplify right side
    32,674.66x = 455,861,227.46
  5. Step 5: Solve for x
    x = 455,861,227.46/32,674.66
  6. Step 6: Final answer
    x = 13,951.52

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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.