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Finding the Fourth Proportional to 65,551.75, 90,461.42 and 35,743.75

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Solution

The fourth proportional to 65,551.75, 90,461.42 and 35,743.75 is: 49,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,551.75 : 90,461.42 = 35,743.75 : x
  2. Step 2: Convert to fraction form
    65,551.75/90,461.42 = 35,743.75/x
  3. Step 3: Cross multiply
    65,551.75x = 90,461.42 × 35,743.75
  4. Step 4: Simplify right side
    65,551.75x = 3,233,430,381.13
  5. Step 5: Solve for x
    x = 3,233,430,381.13/65,551.75
  6. Step 6: Final answer
    x = 49,326.38

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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.