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Finding the Fourth Proportional to 33,813.66, 46,658.80 and 19,478.16

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Solution

The fourth proportional to 33,813.66, 46,658.80 and 19,478.16 is: 26,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813.66 : 46,658.80 = 19,478.16 : x
  2. Step 2: Convert to fraction form
    33,813.66/46,658.80 = 19,478.16/x
  3. Step 3: Cross multiply
    33,813.66x = 46,658.80 × 19,478.16
  4. Step 4: Simplify right side
    33,813.66x = 908,827,571.81
  5. Step 5: Solve for x
    x = 908,827,571.81/33,813.66
  6. Step 6: Final answer
    x = 26,877.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.