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Finding the Fourth Proportional to 38,266.50, 57,403 and 10,564.50

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Solution

The fourth proportional to 38,266.50, 57,403 and 10,564.50 is: 15,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.50 : 57,403 = 10,564.50 : x
  2. Step 2: Convert to fraction form
    38,266.50/57,403 = 10,564.50/x
  3. Step 3: Cross multiply
    38,266.50x = 57,403 × 10,564.50
  4. Step 4: Simplify right side
    38,266.50x = 606,433,993.50
  5. Step 5: Solve for x
    x = 606,433,993.50/38,266.50
  6. Step 6: Final answer
    x = 15,847.65

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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.