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Finding the Fourth Proportional to 70,827.84, 106,256.16 and 29,274.84

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Solution

The fourth proportional to 70,827.84, 106,256.16 and 29,274.84 is: 43,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,827.84 : 106,256.16 = 29,274.84 : x
  2. Step 2: Convert to fraction form
    70,827.84/106,256.16 = 29,274.84/x
  3. Step 3: Cross multiply
    70,827.84x = 106,256.16 × 29,274.84
  4. Step 4: Simplify right side
    70,827.84x = 3,110,632,083.01
  5. Step 5: Solve for x
    x = 3,110,632,083.01/70,827.84
  6. Step 6: Final answer
    x = 43,918.21

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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.