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Finding the Fourth Proportional to 57,745, 86,617.50 and 13,969

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Solution

The fourth proportional to 57,745, 86,617.50 and 13,969 is: 20,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745 : 86,617.50 = 13,969 : x
  2. Step 2: Convert to fraction form
    57,745/86,617.50 = 13,969/x
  3. Step 3: Cross multiply
    57,745x = 86,617.50 × 13,969
  4. Step 4: Simplify right side
    57,745x = 1,209,959,857.50
  5. Step 5: Solve for x
    x = 1,209,959,857.50/57,745
  6. Step 6: Final answer
    x = 20,953.50

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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.