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Finding the Fourth Proportional to 38,356.30, 57,534.45 and 12,069.10

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Solution

The fourth proportional to 38,356.30, 57,534.45 and 12,069.10 is: 18,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356.30 : 57,534.45 = 12,069.10 : x
  2. Step 2: Convert to fraction form
    38,356.30/57,534.45 = 12,069.10/x
  3. Step 3: Cross multiply
    38,356.30x = 57,534.45 × 12,069.10
  4. Step 4: Simplify right side
    38,356.30x = 694,389,030.50
  5. Step 5: Solve for x
    x = 694,389,030.50/38,356.30
  6. Step 6: Final answer
    x = 18,103.65

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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.