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Finding the Fourth Proportional to 65,357.75, 97,997.11 and 29,327.67

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Solution

The fourth proportional to 65,357.75, 97,997.11 and 29,327.67 is: 43,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.75 : 97,997.11 = 29,327.67 : x
  2. Step 2: Convert to fraction form
    65,357.75/97,997.11 = 29,327.67/x
  3. Step 3: Cross multiply
    65,357.75x = 97,997.11 × 29,327.67
  4. Step 4: Simplify right side
    65,357.75x = 2,874,026,829.71
  5. Step 5: Solve for x
    x = 2,874,026,829.71/65,357.75
  6. Step 6: Final answer
    x = 43,973.77

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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.