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Finding the Fourth Proportional to 32,641.44, 48,954.76 and 15,984.80

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Solution

The fourth proportional to 32,641.44, 48,954.76 and 15,984.80 is: 23,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.44 : 48,954.76 = 15,984.80 : x
  2. Step 2: Convert to fraction form
    32,641.44/48,954.76 = 15,984.80/x
  3. Step 3: Cross multiply
    32,641.44x = 48,954.76 × 15,984.80
  4. Step 4: Simplify right side
    32,641.44x = 782,532,047.65
  5. Step 5: Solve for x
    x = 782,532,047.65/32,641.44
  6. Step 6: Final answer
    x = 23,973.58

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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.