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Finding the Fourth Proportional to 71,623.92, 107,405.51 and 34,140.63

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Solution

The fourth proportional to 71,623.92, 107,405.51 and 34,140.63 is: 51,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,623.92 : 107,405.51 = 34,140.63 : x
  2. Step 2: Convert to fraction form
    71,623.92/107,405.51 = 34,140.63/x
  3. Step 3: Cross multiply
    71,623.92x = 107,405.51 × 34,140.63
  4. Step 4: Simplify right side
    71,623.92x = 3,666,891,606.17
  5. Step 5: Solve for x
    x = 3,666,891,606.17/71,623.92
  6. Step 6: Final answer
    x = 51,196.47

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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.