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Finding the Fourth Proportional to 32,684.32, 49,021.84 and 10,494.82

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Solution

The fourth proportional to 32,684.32, 49,021.84 and 10,494.82 is: 15,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.32 : 49,021.84 = 10,494.82 : x
  2. Step 2: Convert to fraction form
    32,684.32/49,021.84 = 10,494.82/x
  3. Step 3: Cross multiply
    32,684.32x = 49,021.84 × 10,494.82
  4. Step 4: Simplify right side
    32,684.32x = 514,475,386.87
  5. Step 5: Solve for x
    x = 514,475,386.87/32,684.32
  6. Step 6: Final answer
    x = 15,740.74

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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.