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Finding the Fourth Proportional to 38,224.52, 57,340.40 and 14,852.76

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Solution

The fourth proportional to 38,224.52, 57,340.40 and 14,852.76 is: 22,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.52 : 57,340.40 = 14,852.76 : x
  2. Step 2: Convert to fraction form
    38,224.52/57,340.40 = 14,852.76/x
  3. Step 3: Cross multiply
    38,224.52x = 57,340.40 × 14,852.76
  4. Step 4: Simplify right side
    38,224.52x = 851,663,199.50
  5. Step 5: Solve for x
    x = 851,663,199.50/38,224.52
  6. Step 6: Final answer
    x = 22,280.55

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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.