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Finding the Fourth Proportional to 37,106.97, 51,210.09 and 20,968.68

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Solution

The fourth proportional to 37,106.97, 51,210.09 and 20,968.68 is: 28,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106.97 : 51,210.09 = 20,968.68 : x
  2. Step 2: Convert to fraction form
    37,106.97/51,210.09 = 20,968.68/x
  3. Step 3: Cross multiply
    37,106.97x = 51,210.09 × 20,968.68
  4. Step 4: Simplify right side
    37,106.97x = 1,073,807,989.98
  5. Step 5: Solve for x
    x = 1,073,807,989.98/37,106.97
  6. Step 6: Final answer
    x = 28,938.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.