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Finding the Fourth Proportional to 57,811.13, 86,716.71 and 16,258.13

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Solution

The fourth proportional to 57,811.13, 86,716.71 and 16,258.13 is: 24,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811.13 : 86,716.71 = 16,258.13 : x
  2. Step 2: Convert to fraction form
    57,811.13/86,716.71 = 16,258.13/x
  3. Step 3: Cross multiply
    57,811.13x = 86,716.71 × 16,258.13
  4. Step 4: Simplify right side
    57,811.13x = 1,409,851,544.35
  5. Step 5: Solve for x
    x = 1,409,851,544.35/57,811.13
  6. Step 6: Final answer
    x = 24,387.20

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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.