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Finding the Fourth Proportional to 39,759.84, 59,638.39 and 10,177.93

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Solution

The fourth proportional to 39,759.84, 59,638.39 and 10,177.93 is: 15,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,759.84 : 59,638.39 = 10,177.93 : x
  2. Step 2: Convert to fraction form
    39,759.84/59,638.39 = 10,177.93/x
  3. Step 3: Cross multiply
    39,759.84x = 59,638.39 × 10,177.93
  4. Step 4: Simplify right side
    39,759.84x = 606,995,184.19
  5. Step 5: Solve for x
    x = 606,995,184.19/39,759.84
  6. Step 6: Final answer
    x = 15,266.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.