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Finding the Fourth Proportional to 32,882.40, 49,323.60 and 26,321.40

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Solution

The fourth proportional to 32,882.40, 49,323.60 and 26,321.40 is: 39,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.40 : 49,323.60 = 26,321.40 : x
  2. Step 2: Convert to fraction form
    32,882.40/49,323.60 = 26,321.40/x
  3. Step 3: Cross multiply
    32,882.40x = 49,323.60 × 26,321.40
  4. Step 4: Simplify right side
    32,882.40x = 1,298,266,205.04
  5. Step 5: Solve for x
    x = 1,298,266,205.04/32,882.40
  6. Step 6: Final answer
    x = 39,482.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.