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Finding the Fourth Proportional to 65,486.16, 90,355.14 and 38,246.80

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Solution

The fourth proportional to 65,486.16, 90,355.14 and 38,246.80 is: 52,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,486.16 : 90,355.14 = 38,246.80 : x
  2. Step 2: Convert to fraction form
    65,486.16/90,355.14 = 38,246.80/x
  3. Step 3: Cross multiply
    65,486.16x = 90,355.14 × 38,246.80
  4. Step 4: Simplify right side
    65,486.16x = 3,455,794,968.55
  5. Step 5: Solve for x
    x = 3,455,794,968.55/65,486.16
  6. Step 6: Final answer
    x = 52,771.38

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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.