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Finding the Fourth Proportional to 74,945.65, 103,425 and 41,411.65

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Solution

The fourth proportional to 74,945.65, 103,425 and 41,411.65 is: 57,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,945.65 : 103,425 = 41,411.65 : x
  2. Step 2: Convert to fraction form
    74,945.65/103,425 = 41,411.65/x
  3. Step 3: Cross multiply
    74,945.65x = 103,425 × 41,411.65
  4. Step 4: Simplify right side
    74,945.65x = 4,282,999,901.25
  5. Step 5: Solve for x
    x = 4,282,999,901.25/74,945.65
  6. Step 6: Final answer
    x = 57,148.08

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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.