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Finding the Fourth Proportional to 102,952.29, 154,392.25 and 30,883.71

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Solution

The fourth proportional to 102,952.29, 154,392.25 and 30,883.71 is: 46,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.29 : 154,392.25 = 30,883.71 : x
  2. Step 2: Convert to fraction form
    102,952.29/154,392.25 = 30,883.71/x
  3. Step 3: Cross multiply
    102,952.29x = 154,392.25 × 30,883.71
  4. Step 4: Simplify right side
    102,952.29x = 4,768,205,571.76
  5. Step 5: Solve for x
    x = 4,768,205,571.76/102,952.29
  6. Step 6: Final answer
    x = 46,314.71

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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.