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Finding the Fourth Proportional to 51,208.84, 70,684.14 and 29,980.36

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Solution

The fourth proportional to 51,208.84, 70,684.14 and 29,980.36 is: 41,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,208.84 : 70,684.14 = 29,980.36 : x
  2. Step 2: Convert to fraction form
    51,208.84/70,684.14 = 29,980.36/x
  3. Step 3: Cross multiply
    51,208.84x = 70,684.14 × 29,980.36
  4. Step 4: Simplify right side
    51,208.84x = 2,119,135,963.49
  5. Step 5: Solve for x
    x = 2,119,135,963.49/51,208.84
  6. Step 6: Final answer
    x = 41,382.23

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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.