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Finding the Fourth Proportional to 106,296.90, 159,462.54 and 31,424.55

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Solution

The fourth proportional to 106,296.90, 159,462.54 and 31,424.55 is: 47,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296.90 : 159,462.54 = 31,424.55 : x
  2. Step 2: Convert to fraction form
    106,296.90/159,462.54 = 31,424.55/x
  3. Step 3: Cross multiply
    106,296.90x = 159,462.54 × 31,424.55
  4. Step 4: Simplify right side
    106,296.90x = 5,011,038,561.36
  5. Step 5: Solve for x
    x = 5,011,038,561.36/106,296.90
  6. Step 6: Final answer
    x = 47,141.91

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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.