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Finding the Fourth Proportional to 46,991.71, 70,470.14 and 18,902.16

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Solution

The fourth proportional to 46,991.71, 70,470.14 and 18,902.16 is: 28,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,991.71 : 70,470.14 = 18,902.16 : x
  2. Step 2: Convert to fraction form
    46,991.71/70,470.14 = 18,902.16/x
  3. Step 3: Cross multiply
    46,991.71x = 70,470.14 × 18,902.16
  4. Step 4: Simplify right side
    46,991.71x = 1,332,037,766.99
  5. Step 5: Solve for x
    x = 1,332,037,766.99/46,991.71
  6. Step 6: Final answer
    x = 28,346.23

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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.