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Finding the Fourth Proportional to 32,778.35, 49,130.31 and 28,821.95

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Solution

The fourth proportional to 32,778.35, 49,130.31 and 28,821.95 is: 43,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.35 : 49,130.31 = 28,821.95 : x
  2. Step 2: Convert to fraction form
    32,778.35/49,130.31 = 28,821.95/x
  3. Step 3: Cross multiply
    32,778.35x = 49,130.31 × 28,821.95
  4. Step 4: Simplify right side
    32,778.35x = 1,416,031,384.97
  5. Step 5: Solve for x
    x = 1,416,031,384.97/32,778.35
  6. Step 6: Final answer
    x = 43,200.20

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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.