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Finding the Fourth Proportional to 32,177.80, 48,228.30 and 13,457.80

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Solution

The fourth proportional to 32,177.80, 48,228.30 and 13,457.80 is: 20,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.80 : 48,228.30 = 13,457.80 : x
  2. Step 2: Convert to fraction form
    32,177.80/48,228.30 = 13,457.80/x
  3. Step 3: Cross multiply
    32,177.80x = 48,228.30 × 13,457.80
  4. Step 4: Simplify right side
    32,177.80x = 649,046,815.74
  5. Step 5: Solve for x
    x = 649,046,815.74/32,177.80
  6. Step 6: Final answer
    x = 20,170.64

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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.