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Finding the Fourth Proportional to 57,810.40, 86,715.60 and 16,257.40

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Solution

The fourth proportional to 57,810.40, 86,715.60 and 16,257.40 is: 24,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,810.40 : 86,715.60 = 16,257.40 : x
  2. Step 2: Convert to fraction form
    57,810.40/86,715.60 = 16,257.40/x
  3. Step 3: Cross multiply
    57,810.40x = 86,715.60 × 16,257.40
  4. Step 4: Simplify right side
    57,810.40x = 1,409,770,195.44
  5. Step 5: Solve for x
    x = 1,409,770,195.44/57,810.40
  6. Step 6: Final answer
    x = 24,386.10

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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.