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Finding the Fourth Proportional to 71,784.62, 107,693.98 and 22,536.62

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Solution

The fourth proportional to 71,784.62, 107,693.98 and 22,536.62 is: 33,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.62 : 107,693.98 = 22,536.62 : x
  2. Step 2: Convert to fraction form
    71,784.62/107,693.98 = 22,536.62/x
  3. Step 3: Cross multiply
    71,784.62x = 107,693.98 × 22,536.62
  4. Step 4: Simplify right side
    71,784.62x = 2,427,058,303.55
  5. Step 5: Solve for x
    x = 2,427,058,303.55/71,784.62
  6. Step 6: Final answer
    x = 33,810.28

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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.