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Finding the Fourth Proportional to 97,759.76, 134,911.31 and 55,317.38

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Solution

The fourth proportional to 97,759.76, 134,911.31 and 55,317.38 is: 76,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,759.76 : 134,911.31 = 55,317.38 : x
  2. Step 2: Convert to fraction form
    97,759.76/134,911.31 = 55,317.38/x
  3. Step 3: Cross multiply
    97,759.76x = 134,911.31 × 55,317.38
  4. Step 4: Simplify right side
    97,759.76x = 7,462,939,250.42
  5. Step 5: Solve for x
    x = 7,462,939,250.42/97,759.76
  6. Step 6: Final answer
    x = 76,339.59

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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.