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Finding the Fourth Proportional to 38,147.60, 57,226.80 and 11,849.60

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Solution

The fourth proportional to 38,147.60, 57,226.80 and 11,849.60 is: 17,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.60 : 57,226.80 = 11,849.60 : x
  2. Step 2: Convert to fraction form
    38,147.60/57,226.80 = 11,849.60/x
  3. Step 3: Cross multiply
    38,147.60x = 57,226.80 × 11,849.60
  4. Step 4: Simplify right side
    38,147.60x = 678,114,689.28
  5. Step 5: Solve for x
    x = 678,114,689.28/38,147.60
  6. Step 6: Final answer
    x = 17,776.08

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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.