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Finding the Fourth Proportional to 39,785.69, 59,674.08 and 10,204.22

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Solution

The fourth proportional to 39,785.69, 59,674.08 and 10,204.22 is: 15,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785.69 : 59,674.08 = 10,204.22 : x
  2. Step 2: Convert to fraction form
    39,785.69/59,674.08 = 10,204.22/x
  3. Step 3: Cross multiply
    39,785.69x = 59,674.08 × 10,204.22
  4. Step 4: Simplify right side
    39,785.69x = 608,927,440.62
  5. Step 5: Solve for x
    x = 608,927,440.62/39,785.69
  6. Step 6: Final answer
    x = 15,305.19

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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.