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Finding the Fourth Proportional to 57,190.32, 85,764.42 and 19,740.78

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Solution

The fourth proportional to 57,190.32, 85,764.42 and 19,740.78 is: 29,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.32 : 85,764.42 = 19,740.78 : x
  2. Step 2: Convert to fraction form
    57,190.32/85,764.42 = 19,740.78/x
  3. Step 3: Cross multiply
    57,190.32x = 85,764.42 × 19,740.78
  4. Step 4: Simplify right side
    57,190.32x = 1,693,056,547.05
  5. Step 5: Solve for x
    x = 1,693,056,547.05/57,190.32
  6. Step 6: Final answer
    x = 29,603.90

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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.