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Finding the Fourth Proportional to 106,295.12, 159,470.24 and 31,412.24

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Solution

The fourth proportional to 106,295.12, 159,470.24 and 31,412.24 is: 47,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,295.12 : 159,470.24 = 31,412.24 : x
  2. Step 2: Convert to fraction form
    106,295.12/159,470.24 = 31,412.24/x
  3. Step 3: Cross multiply
    106,295.12x = 159,470.24 × 31,412.24
  4. Step 4: Simplify right side
    106,295.12x = 5,009,317,451.74
  5. Step 5: Solve for x
    x = 5,009,317,451.74/106,295.12
  6. Step 6: Final answer
    x = 47,126.50

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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.