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Finding the Fourth Proportional to 71,851.26, 107,776.91 and 21,931.64

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Solution

The fourth proportional to 71,851.26, 107,776.91 and 21,931.64 is: 32,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,851.26 : 107,776.91 = 21,931.64 : x
  2. Step 2: Convert to fraction form
    71,851.26/107,776.91 = 21,931.64/x
  3. Step 3: Cross multiply
    71,851.26x = 107,776.91 × 21,931.64
  4. Step 4: Simplify right side
    71,851.26x = 2,363,724,390.43
  5. Step 5: Solve for x
    x = 2,363,724,390.43/71,851.26
  6. Step 6: Final answer
    x = 32,897.47

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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.