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Finding the Fourth Proportional to 71,291, 98,407.54 and 41,483

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Solution

The fourth proportional to 71,291, 98,407.54 and 41,483 is: 57,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291 : 98,407.54 = 41,483 : x
  2. Step 2: Convert to fraction form
    71,291/98,407.54 = 41,483/x
  3. Step 3: Cross multiply
    71,291x = 98,407.54 × 41,483
  4. Step 4: Simplify right side
    71,291x = 4,082,239,981.82
  5. Step 5: Solve for x
    x = 4,082,239,981.82/71,291
  6. Step 6: Final answer
    x = 57,261.65

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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.