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Finding the Fourth Proportional to 65,274, 90,078.16 and 35,466

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Solution

The fourth proportional to 65,274, 90,078.16 and 35,466 is: 48,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274 : 90,078.16 = 35,466 : x
  2. Step 2: Convert to fraction form
    65,274/90,078.16 = 35,466/x
  3. Step 3: Cross multiply
    65,274x = 90,078.16 × 35,466
  4. Step 4: Simplify right side
    65,274x = 3,194,712,022.56
  5. Step 5: Solve for x
    x = 3,194,712,022.56/65,274
  6. Step 6: Final answer
    x = 48,943.10

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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.