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Finding the Fourth Proportional to 74,945.75, 103,432.70 and 41,411.75

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Solution

The fourth proportional to 74,945.75, 103,432.70 and 41,411.75 is: 57,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,945.75 : 103,432.70 = 41,411.75 : x
  2. Step 2: Convert to fraction form
    74,945.75/103,432.70 = 41,411.75/x
  3. Step 3: Cross multiply
    74,945.75x = 103,432.70 × 41,411.75
  4. Step 4: Simplify right side
    74,945.75x = 4,283,329,114.23
  5. Step 5: Solve for x
    x = 4,283,329,114.23/74,945.75
  6. Step 6: Final answer
    x = 57,152.40

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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.