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Finding the Fourth Proportional to 57,788.53, 86,683.16 and 17,807.02

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Solution

The fourth proportional to 57,788.53, 86,683.16 and 17,807.02 is: 26,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.53 : 86,683.16 = 17,807.02 : x
  2. Step 2: Convert to fraction form
    57,788.53/86,683.16 = 17,807.02/x
  3. Step 3: Cross multiply
    57,788.53x = 86,683.16 × 17,807.02
  4. Step 4: Simplify right side
    57,788.53x = 1,543,568,674.75
  5. Step 5: Solve for x
    x = 1,543,568,674.75/57,788.53
  6. Step 6: Final answer
    x = 26,710.64

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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.