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Finding the Fourth Proportional to 71,348, 98,460.26 and 41,540

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Solution

The fourth proportional to 71,348, 98,460.26 and 41,540 is: 57,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,348 : 98,460.26 = 41,540 : x
  2. Step 2: Convert to fraction form
    71,348/98,460.26 = 41,540/x
  3. Step 3: Cross multiply
    71,348x = 98,460.26 × 41,540
  4. Step 4: Simplify right side
    71,348x = 4,090,039,200.40
  5. Step 5: Solve for x
    x = 4,090,039,200.40/71,348
  6. Step 6: Final answer
    x = 57,325.21

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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.