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Finding the Fourth Proportional to 65,312.90, 97,919.99 and 33,709.23

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Solution

The fourth proportional to 65,312.90, 97,919.99 and 33,709.23 is: 50,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.90 : 97,919.99 = 33,709.23 : x
  2. Step 2: Convert to fraction form
    65,312.90/97,919.99 = 33,709.23/x
  3. Step 3: Cross multiply
    65,312.90x = 97,919.99 × 33,709.23
  4. Step 4: Simplify right side
    65,312.90x = 3,300,807,793.58
  5. Step 5: Solve for x
    x = 3,300,807,793.58/65,312.90
  6. Step 6: Final answer
    x = 50,538.37

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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.