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Finding the Fourth Proportional to 65,186, 89,956.76 and 35,378

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Solution

The fourth proportional to 65,186, 89,956.76 and 35,378 is: 48,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186 : 89,956.76 = 35,378 : x
  2. Step 2: Convert to fraction form
    65,186/89,956.76 = 35,378/x
  3. Step 3: Cross multiply
    65,186x = 89,956.76 × 35,378
  4. Step 4: Simplify right side
    65,186x = 3,182,490,255.28
  5. Step 5: Solve for x
    x = 3,182,490,255.28/65,186
  6. Step 6: Final answer
    x = 48,821.68

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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.