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Finding the Fourth Proportional to 71,248.59, 106,838.37 and 29,111.94

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Solution

The fourth proportional to 71,248.59, 106,838.37 and 29,111.94 is: 43,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,248.59 : 106,838.37 = 29,111.94 : x
  2. Step 2: Convert to fraction form
    71,248.59/106,838.37 = 29,111.94/x
  3. Step 3: Cross multiply
    71,248.59x = 106,838.37 × 29,111.94
  4. Step 4: Simplify right side
    71,248.59x = 3,110,272,217.14
  5. Step 5: Solve for x
    x = 3,110,272,217.14/71,248.59
  6. Step 6: Final answer
    x = 43,653.81

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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.