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Finding the Fourth Proportional to 64,199.82, 96,311.79 and 29,141.94

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Solution

The fourth proportional to 64,199.82, 96,311.79 and 29,141.94 is: 43,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,199.82 : 96,311.79 = 29,141.94 : x
  2. Step 2: Convert to fraction form
    64,199.82/96,311.79 = 29,141.94/x
  3. Step 3: Cross multiply
    64,199.82x = 96,311.79 × 29,141.94
  4. Step 4: Simplify right side
    64,199.82x = 2,806,712,405.47
  5. Step 5: Solve for x
    x = 2,806,712,405.47/64,199.82
  6. Step 6: Final answer
    x = 43,718.38

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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.