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Finding the Fourth Proportional to 39,412.71, 59,119.61 and 13,117.55

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Solution

The fourth proportional to 39,412.71, 59,119.61 and 13,117.55 is: 19,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.71 : 59,119.61 = 13,117.55 : x
  2. Step 2: Convert to fraction form
    39,412.71/59,119.61 = 13,117.55/x
  3. Step 3: Cross multiply
    39,412.71x = 59,119.61 × 13,117.55
  4. Step 4: Simplify right side
    39,412.71x = 775,504,078.97
  5. Step 5: Solve for x
    x = 775,504,078.97/39,412.71
  6. Step 6: Final answer
    x = 19,676.50

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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.