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Finding the Fourth Proportional to 41,617, 57,432.50 and 25,264.40

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Solution

The fourth proportional to 41,617, 57,432.50 and 25,264.40 is: 34,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617 : 57,432.50 = 25,264.40 : x
  2. Step 2: Convert to fraction form
    41,617/57,432.50 = 25,264.40/x
  3. Step 3: Cross multiply
    41,617x = 57,432.50 × 25,264.40
  4. Step 4: Simplify right side
    41,617x = 1,450,997,653
  5. Step 5: Solve for x
    x = 1,450,997,653/41,617
  6. Step 6: Final answer
    x = 34,865.50

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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.