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Finding the Fourth Proportional to 65,518, 90,414.88 and 35,710

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Solution

The fourth proportional to 65,518, 90,414.88 and 35,710 is: 49,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,518 : 90,414.88 = 35,710 : x
  2. Step 2: Convert to fraction form
    65,518/90,414.88 = 35,710/x
  3. Step 3: Cross multiply
    65,518x = 90,414.88 × 35,710
  4. Step 4: Simplify right side
    65,518x = 3,228,715,364.80
  5. Step 5: Solve for x
    x = 3,228,715,364.80/65,518
  6. Step 6: Final answer
    x = 49,279.82

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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.