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Finding the Fourth Proportional to 38,256.80, 57,385.20 and 10,176.80

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Solution

The fourth proportional to 38,256.80, 57,385.20 and 10,176.80 is: 15,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.80 : 57,385.20 = 10,176.80 : x
  2. Step 2: Convert to fraction form
    38,256.80/57,385.20 = 10,176.80/x
  3. Step 3: Cross multiply
    38,256.80x = 57,385.20 × 10,176.80
  4. Step 4: Simplify right side
    38,256.80x = 583,997,703.36
  5. Step 5: Solve for x
    x = 583,997,703.36/38,256.80
  6. Step 6: Final answer
    x = 15,265.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.