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Finding the Fourth Proportional to 32,949.20, 49,423.80 and 31,005.20

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Solution

The fourth proportional to 32,949.20, 49,423.80 and 31,005.20 is: 46,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.20 : 49,423.80 = 31,005.20 : x
  2. Step 2: Convert to fraction form
    32,949.20/49,423.80 = 31,005.20/x
  3. Step 3: Cross multiply
    32,949.20x = 49,423.80 × 31,005.20
  4. Step 4: Simplify right side
    32,949.20x = 1,532,394,803.76
  5. Step 5: Solve for x
    x = 1,532,394,803.76/32,949.20
  6. Step 6: Final answer
    x = 46,507.80

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1.5x scale

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.