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Finding the Fourth Proportional to 32,559, 48,838.74 and 7,935

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Solution

The fourth proportional to 32,559, 48,838.74 and 7,935 is: 11,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559 : 48,838.74 = 7,935 : x
  2. Step 2: Convert to fraction form
    32,559/48,838.74 = 7,935/x
  3. Step 3: Cross multiply
    32,559x = 48,838.74 × 7,935
  4. Step 4: Simplify right side
    32,559x = 387,535,401.90
  5. Step 5: Solve for x
    x = 387,535,401.90/32,559
  6. Step 6: Final answer
    x = 11,902.56

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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.