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Finding the Fourth Proportional to 32,838.47, 49,253.09 and 10,652.04

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Solution

The fourth proportional to 32,838.47, 49,253.09 and 10,652.04 is: 15,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.47 : 49,253.09 = 10,652.04 : x
  2. Step 2: Convert to fraction form
    32,838.47/49,253.09 = 10,652.04/x
  3. Step 3: Cross multiply
    32,838.47x = 49,253.09 × 10,652.04
  4. Step 4: Simplify right side
    32,838.47x = 524,645,831.54
  5. Step 5: Solve for x
    x = 524,645,831.54/32,838.47
  6. Step 6: Final answer
    x = 15,976.56

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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.