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Finding the Fourth Proportional to 32,984.80, 49,404.30 and 13,253.20

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Solution

The fourth proportional to 32,984.80, 49,404.30 and 13,253.20 is: 19,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.80 : 49,404.30 = 13,253.20 : x
  2. Step 2: Convert to fraction form
    32,984.80/49,404.30 = 13,253.20/x
  3. Step 3: Cross multiply
    32,984.80x = 49,404.30 × 13,253.20
  4. Step 4: Simplify right side
    32,984.80x = 654,765,068.76
  5. Step 5: Solve for x
    x = 654,765,068.76/32,984.80
  6. Step 6: Final answer
    x = 19,850.51

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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.