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Finding the Fourth Proportional to 71,802.63, 107,704.01 and 34,353.87

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Solution

The fourth proportional to 71,802.63, 107,704.01 and 34,353.87 is: 51,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.63 : 107,704.01 = 34,353.87 : x
  2. Step 2: Convert to fraction form
    71,802.63/107,704.01 = 34,353.87/x
  3. Step 3: Cross multiply
    71,802.63x = 107,704.01 × 34,353.87
  4. Step 4: Simplify right side
    71,802.63x = 3,700,049,386.25
  5. Step 5: Solve for x
    x = 3,700,049,386.25/71,802.63
  6. Step 6: Final answer
    x = 51,530.83

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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.