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Finding the Fourth Proportional to 39,504.69, 59,194.76 and 14,510.25

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Solution

The fourth proportional to 39,504.69, 59,194.76 and 14,510.25 is: 21,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,504.69 : 59,194.76 = 14,510.25 : x
  2. Step 2: Convert to fraction form
    39,504.69/59,194.76 = 14,510.25/x
  3. Step 3: Cross multiply
    39,504.69x = 59,194.76 × 14,510.25
  4. Step 4: Simplify right side
    39,504.69x = 858,930,693.74
  5. Step 5: Solve for x
    x = 858,930,693.74/39,504.69
  6. Step 6: Final answer
    x = 21,742.50

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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.