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Finding the Fourth Proportional to 65,825.42, 90,802.14 and 40,344.12

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Solution

The fourth proportional to 65,825.42, 90,802.14 and 40,344.12 is: 55,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.42 : 90,802.14 = 40,344.12 : x
  2. Step 2: Convert to fraction form
    65,825.42/90,802.14 = 40,344.12/x
  3. Step 3: Cross multiply
    65,825.42x = 90,802.14 × 40,344.12
  4. Step 4: Simplify right side
    65,825.42x = 3,663,332,432.42
  5. Step 5: Solve for x
    x = 3,663,332,432.42/65,825.42
  6. Step 6: Final answer
    x = 55,652.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.