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Finding the Fourth Proportional to 32,908.86, 49,364.37 and 9,535.50

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Solution

The fourth proportional to 32,908.86, 49,364.37 and 9,535.50 is: 14,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908.86 : 49,364.37 = 9,535.50 : x
  2. Step 2: Convert to fraction form
    32,908.86/49,364.37 = 9,535.50/x
  3. Step 3: Cross multiply
    32,908.86x = 49,364.37 × 9,535.50
  4. Step 4: Simplify right side
    32,908.86x = 470,713,950.14
  5. Step 5: Solve for x
    x = 470,713,950.14/32,908.86
  6. Step 6: Final answer
    x = 14,303.56

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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.