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Finding the Fourth Proportional to 72,991, 109,493.52 and 33,559.12

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Solution

The fourth proportional to 72,991, 109,493.52 and 33,559.12 is: 50,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991 : 109,493.52 = 33,559.12 : x
  2. Step 2: Convert to fraction form
    72,991/109,493.52 = 33,559.12/x
  3. Step 3: Cross multiply
    72,991x = 109,493.52 × 33,559.12
  4. Step 4: Simplify right side
    72,991x = 3,674,506,176.90
  5. Step 5: Solve for x
    x = 3,674,506,176.90/72,991
  6. Step 6: Final answer
    x = 50,341.91

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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.