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Finding the Fourth Proportional to 38,645.60, 57,921.60 and 16,412.30

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Solution

The fourth proportional to 38,645.60, 57,921.60 and 16,412.30 is: 24,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645.60 : 57,921.60 = 16,412.30 : x
  2. Step 2: Convert to fraction form
    38,645.60/57,921.60 = 16,412.30/x
  3. Step 3: Cross multiply
    38,645.60x = 57,921.60 × 16,412.30
  4. Step 4: Simplify right side
    38,645.60x = 950,626,675.68
  5. Step 5: Solve for x
    x = 950,626,675.68/38,645.60
  6. Step 6: Final answer
    x = 24,598.57

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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.