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Finding the Fourth Proportional to 64,384.20, 96,603.84 and 34,822.80

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Solution

The fourth proportional to 64,384.20, 96,603.84 and 34,822.80 is: 52,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384.20 : 96,603.84 = 34,822.80 : x
  2. Step 2: Convert to fraction form
    64,384.20/96,603.84 = 34,822.80/x
  3. Step 3: Cross multiply
    64,384.20x = 96,603.84 × 34,822.80
  4. Step 4: Simplify right side
    64,384.20x = 3,364,016,199.55
  5. Step 5: Solve for x
    x = 3,364,016,199.55/64,384.20
  6. Step 6: Final answer
    x = 52,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.