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Finding the Fourth Proportional to 35,737.83, 53,608.67 and 9,441.86

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Solution

The fourth proportional to 35,737.83, 53,608.67 and 9,441.86 is: 14,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.83 : 53,608.67 = 9,441.86 : x
  2. Step 2: Convert to fraction form
    35,737.83/53,608.67 = 9,441.86/x
  3. Step 3: Cross multiply
    35,737.83x = 53,608.67 × 9,441.86
  4. Step 4: Simplify right side
    35,737.83x = 506,165,241.67
  5. Step 5: Solve for x
    x = 506,165,241.67/35,737.83
  6. Step 6: Final answer
    x = 14,163.29

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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.