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Finding the Fourth Proportional to 32,815.20, 49,222.80 and 12,046.80

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Solution

The fourth proportional to 32,815.20, 49,222.80 and 12,046.80 is: 18,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.20 : 49,222.80 = 12,046.80 : x
  2. Step 2: Convert to fraction form
    32,815.20/49,222.80 = 12,046.80/x
  3. Step 3: Cross multiply
    32,815.20x = 49,222.80 × 12,046.80
  4. Step 4: Simplify right side
    32,815.20x = 592,977,227.04
  5. Step 5: Solve for x
    x = 592,977,227.04/32,815.20
  6. Step 6: Final answer
    x = 18,070.20

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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.