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Finding the Fourth Proportional to 27,064.53, 40,565.61 and 10,416.20

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Solution

The fourth proportional to 27,064.53, 40,565.61 and 10,416.20 is: 15,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.53 : 40,565.61 = 10,416.20 : x
  2. Step 2: Convert to fraction form
    27,064.53/40,565.61 = 10,416.20/x
  3. Step 3: Cross multiply
    27,064.53x = 40,565.61 × 10,416.20
  4. Step 4: Simplify right side
    27,064.53x = 422,539,304.05
  5. Step 5: Solve for x
    x = 422,539,304.05/27,064.53
  6. Step 6: Final answer
    x = 15,612.29

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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.