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Finding the Fourth Proportional to 57,745.50, 86,618.25 and 13,969.50

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Solution

The fourth proportional to 57,745.50, 86,618.25 and 13,969.50 is: 20,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745.50 : 86,618.25 = 13,969.50 : x
  2. Step 2: Convert to fraction form
    57,745.50/86,618.25 = 13,969.50/x
  3. Step 3: Cross multiply
    57,745.50x = 86,618.25 × 13,969.50
  4. Step 4: Simplify right side
    57,745.50x = 1,210,013,643.38
  5. Step 5: Solve for x
    x = 1,210,013,643.38/57,745.50
  6. Step 6: Final answer
    x = 20,954.25

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1.5x scale

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.