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Finding the Fourth Proportional to 71,987.22, 99,342.30 and 40,156.10

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Solution

The fourth proportional to 71,987.22, 99,342.30 and 40,156.10 is: 55,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987.22 : 99,342.30 = 40,156.10 : x
  2. Step 2: Convert to fraction form
    71,987.22/99,342.30 = 40,156.10/x
  3. Step 3: Cross multiply
    71,987.22x = 99,342.30 × 40,156.10
  4. Step 4: Simplify right side
    71,987.22x = 3,989,199,333.03
  5. Step 5: Solve for x
    x = 3,989,199,333.03/71,987.22
  6. Step 6: Final answer
    x = 55,415.38

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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.