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Finding the Fourth Proportional to 64,197.82, 96,308.79 and 29,139.94

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Solution

The fourth proportional to 64,197.82, 96,308.79 and 29,139.94 is: 43,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197.82 : 96,308.79 = 29,139.94 : x
  2. Step 2: Convert to fraction form
    64,197.82/96,308.79 = 29,139.94/x
  3. Step 3: Cross multiply
    64,197.82x = 96,308.79 × 29,139.94
  4. Step 4: Simplify right side
    64,197.82x = 2,806,432,362.07
  5. Step 5: Solve for x
    x = 2,806,432,362.07/64,197.82
  6. Step 6: Final answer
    x = 43,715.38

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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.