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Finding the Fourth Proportional to 39,385.50, 59,078.25 and 10,201.50

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Solution

The fourth proportional to 39,385.50, 59,078.25 and 10,201.50 is: 15,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,385.50 : 59,078.25 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    39,385.50/59,078.25 = 10,201.50/x
  3. Step 3: Cross multiply
    39,385.50x = 59,078.25 × 10,201.50
  4. Step 4: Simplify right side
    39,385.50x = 602,686,767.38
  5. Step 5: Solve for x
    x = 602,686,767.38/39,385.50
  6. Step 6: Final answer
    x = 15,302.25

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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.