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Finding the Fourth Proportional to 95,459.31, 131,731.11 and 53,015.11

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Solution

The fourth proportional to 95,459.31, 131,731.11 and 53,015.11 is: 73,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,459.31 : 131,731.11 = 53,015.11 : x
  2. Step 2: Convert to fraction form
    95,459.31/131,731.11 = 53,015.11/x
  3. Step 3: Cross multiply
    95,459.31x = 131,731.11 × 53,015.11
  4. Step 4: Simplify right side
    95,459.31x = 6,983,738,957.74
  5. Step 5: Solve for x
    x = 6,983,738,957.74/95,459.31
  6. Step 6: Final answer
    x = 73,159.33

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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.