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Finding the Fourth Proportional to 65,524, 90,423.16 and 35,716

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Solution

The fourth proportional to 65,524, 90,423.16 and 35,716 is: 49,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524 : 90,423.16 = 35,716 : x
  2. Step 2: Convert to fraction form
    65,524/90,423.16 = 35,716/x
  3. Step 3: Cross multiply
    65,524x = 90,423.16 × 35,716
  4. Step 4: Simplify right side
    65,524x = 3,229,553,582.56
  5. Step 5: Solve for x
    x = 3,229,553,582.56/65,524
  6. Step 6: Final answer
    x = 49,288.10

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Why These Related Problems?

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