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Finding the Fourth Proportional to 36,538.84, 54,813.98 and 15,478.93

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Solution

The fourth proportional to 36,538.84, 54,813.98 and 15,478.93 is: 23,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538.84 : 54,813.98 = 15,478.93 : x
  2. Step 2: Convert to fraction form
    36,538.84/54,813.98 = 15,478.93/x
  3. Step 3: Cross multiply
    36,538.84x = 54,813.98 × 15,478.93
  4. Step 4: Simplify right side
    36,538.84x = 848,461,759.44
  5. Step 5: Solve for x
    x = 848,461,759.44/36,538.84
  6. Step 6: Final answer
    x = 23,220.82

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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.