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Finding the Fourth Proportional to 32,407.20, 48,610.78 and 7,783.20

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Solution

The fourth proportional to 32,407.20, 48,610.78 and 7,783.20 is: 11,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.20 : 48,610.78 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    32,407.20/48,610.78 = 7,783.20/x
  3. Step 3: Cross multiply
    32,407.20x = 48,610.78 × 7,783.20
  4. Step 4: Simplify right side
    32,407.20x = 378,347,422.90
  5. Step 5: Solve for x
    x = 378,347,422.90/32,407.20
  6. Step 6: Final answer
    x = 11,674.80

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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.