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Finding the Fourth Proportional to 71,106.93, 106,436.70 and 48,789.81

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Solution

The fourth proportional to 71,106.93, 106,436.70 and 48,789.81 is: 73,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.93 : 106,436.70 = 48,789.81 : x
  2. Step 2: Convert to fraction form
    71,106.93/106,436.70 = 48,789.81/x
  3. Step 3: Cross multiply
    71,106.93x = 106,436.70 × 48,789.81
  4. Step 4: Simplify right side
    71,106.93x = 5,193,026,370.03
  5. Step 5: Solve for x
    x = 5,193,026,370.03/71,106.93
  6. Step 6: Final answer
    x = 73,031.23

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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.