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Finding the Fourth Proportional to 32,670.40, 49,007.46 and 9,295

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Solution

The fourth proportional to 32,670.40, 49,007.46 and 9,295 is: 13,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670.40 : 49,007.46 = 9,295 : x
  2. Step 2: Convert to fraction form
    32,670.40/49,007.46 = 9,295/x
  3. Step 3: Cross multiply
    32,670.40x = 49,007.46 × 9,295
  4. Step 4: Simplify right side
    32,670.40x = 455,524,340.70
  5. Step 5: Solve for x
    x = 455,524,340.70/32,670.40
  6. Step 6: Final answer
    x = 13,943.03

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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.