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Finding the Fourth Proportional to 33,155.64, 49,737.08 and 9,782.08

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Solution

The fourth proportional to 33,155.64, 49,737.08 and 9,782.08 is: 14,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.64 : 49,737.08 = 9,782.08 : x
  2. Step 2: Convert to fraction form
    33,155.64/49,737.08 = 9,782.08/x
  3. Step 3: Cross multiply
    33,155.64x = 49,737.08 × 9,782.08
  4. Step 4: Simplify right side
    33,155.64x = 486,532,095.53
  5. Step 5: Solve for x
    x = 486,532,095.53/33,155.64
  6. Step 6: Final answer
    x = 14,674.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.