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Finding the Fourth Proportional to 65,114, 89,857.36 and 35,306

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Solution

The fourth proportional to 65,114, 89,857.36 and 35,306 is: 48,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114 : 89,857.36 = 35,306 : x
  2. Step 2: Convert to fraction form
    65,114/89,857.36 = 35,306/x
  3. Step 3: Cross multiply
    65,114x = 89,857.36 × 35,306
  4. Step 4: Simplify right side
    65,114x = 3,172,503,952.16
  5. Step 5: Solve for x
    x = 3,172,503,952.16/65,114
  6. Step 6: Final answer
    x = 48,722.30

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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.