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Finding the Fourth Proportional to 38,565.64, 57,902 and 19,859.05

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Solution

The fourth proportional to 38,565.64, 57,902 and 19,859.05 is: 29,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.64 : 57,902 = 19,859.05 : x
  2. Step 2: Convert to fraction form
    38,565.64/57,902 = 19,859.05/x
  3. Step 3: Cross multiply
    38,565.64x = 57,902 × 19,859.05
  4. Step 4: Simplify right side
    38,565.64x = 1,149,878,713.10
  5. Step 5: Solve for x
    x = 1,149,878,713.10/38,565.64
  6. Step 6: Final answer
    x = 29,816.14

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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.