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Finding the Fourth Proportional to 39,627.48, 59,449 and 14,667.75

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Solution

The fourth proportional to 39,627.48, 59,449 and 14,667.75 is: 22,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,627.48 : 59,449 = 14,667.75 : x
  2. Step 2: Convert to fraction form
    39,627.48/59,449 = 14,667.75/x
  3. Step 3: Cross multiply
    39,627.48x = 59,449 × 14,667.75
  4. Step 4: Simplify right side
    39,627.48x = 871,983,069.75
  5. Step 5: Solve for x
    x = 871,983,069.75/39,627.48
  6. Step 6: Final answer
    x = 22,004.50

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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.