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Finding the Fourth Proportional to 38,535.80, 57,803.70 and 10,830.20

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Solution

The fourth proportional to 38,535.80, 57,803.70 and 10,830.20 is: 16,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.80 : 57,803.70 = 10,830.20 : x
  2. Step 2: Convert to fraction form
    38,535.80/57,803.70 = 10,830.20/x
  3. Step 3: Cross multiply
    38,535.80x = 57,803.70 × 10,830.20
  4. Step 4: Simplify right side
    38,535.80x = 626,025,631.74
  5. Step 5: Solve for x
    x = 626,025,631.74/38,535.80
  6. Step 6: Final answer
    x = 16,245.30

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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.