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Finding the Fourth Proportional to 61,772.48, 85,246.17 and 33,478.16

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Solution

The fourth proportional to 61,772.48, 85,246.17 and 33,478.16 is: 46,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,772.48 : 85,246.17 = 33,478.16 : x
  2. Step 2: Convert to fraction form
    61,772.48/85,246.17 = 33,478.16/x
  3. Step 3: Cross multiply
    61,772.48x = 85,246.17 × 33,478.16
  4. Step 4: Simplify right side
    61,772.48x = 2,853,884,918.65
  5. Step 5: Solve for x
    x = 2,853,884,918.65/61,772.48
  6. Step 6: Final answer
    x = 46,199.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.