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Finding the Fourth Proportional to 71,805.31, 99,088.13 and 41,156.44

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Solution

The fourth proportional to 71,805.31, 99,088.13 and 41,156.44 is: 56,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,805.31 : 99,088.13 = 41,156.44 : x
  2. Step 2: Convert to fraction form
    71,805.31/99,088.13 = 41,156.44/x
  3. Step 3: Cross multiply
    71,805.31x = 99,088.13 × 41,156.44
  4. Step 4: Simplify right side
    71,805.31x = 4,078,114,459.81
  5. Step 5: Solve for x
    x = 4,078,114,459.81/71,805.31
  6. Step 6: Final answer
    x = 56,794.05

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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.