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Finding the Fourth Proportional to 71,427.04, 98,568.54 and 41,212

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Solution

The fourth proportional to 71,427.04, 98,568.54 and 41,212 is: 56,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427.04 : 98,568.54 = 41,212 : x
  2. Step 2: Convert to fraction form
    71,427.04/98,568.54 = 41,212/x
  3. Step 3: Cross multiply
    71,427.04x = 98,568.54 × 41,212
  4. Step 4: Simplify right side
    71,427.04x = 4,062,206,670.48
  5. Step 5: Solve for x
    x = 4,062,206,670.48/71,427.04
  6. Step 6: Final answer
    x = 56,872.11

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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.