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Finding the Fourth Proportional to 71,530.94, 107,284.79 and 29,402.48

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Solution

The fourth proportional to 71,530.94, 107,284.79 and 29,402.48 is: 44,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.94 : 107,284.79 = 29,402.48 : x
  2. Step 2: Convert to fraction form
    71,530.94/107,284.79 = 29,402.48/x
  3. Step 3: Cross multiply
    71,530.94x = 107,284.79 × 29,402.48
  4. Step 4: Simplify right side
    71,530.94x = 3,154,438,745.27
  5. Step 5: Solve for x
    x = 3,154,438,745.27/71,530.94
  6. Step 6: Final answer
    x = 44,098.94

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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.