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Finding the Fourth Proportional to 71,859.84, 107,784.73 and 26,872.63

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Solution

The fourth proportional to 71,859.84, 107,784.73 and 26,872.63 is: 40,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,859.84 : 107,784.73 = 26,872.63 : x
  2. Step 2: Convert to fraction form
    71,859.84/107,784.73 = 26,872.63/x
  3. Step 3: Cross multiply
    71,859.84x = 107,784.73 × 26,872.63
  4. Step 4: Simplify right side
    71,859.84x = 2,896,459,168.94
  5. Step 5: Solve for x
    x = 2,896,459,168.94/71,859.84
  6. Step 6: Final answer
    x = 40,307.06

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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.