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Finding the Fourth Proportional to 65,144.82, 89,888.16 and 38,292.75

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Solution

The fourth proportional to 65,144.82, 89,888.16 and 38,292.75 is: 52,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.82 : 89,888.16 = 38,292.75 : x
  2. Step 2: Convert to fraction form
    65,144.82/89,888.16 = 38,292.75/x
  3. Step 3: Cross multiply
    65,144.82x = 89,888.16 × 38,292.75
  4. Step 4: Simplify right side
    65,144.82x = 3,442,064,838.84
  5. Step 5: Solve for x
    x = 3,442,064,838.84/65,144.82
  6. Step 6: Final answer
    x = 52,837.12

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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.