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Finding the Fourth Proportional to 36,815.50, 55,223.25 and 9,113.50

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Solution

The fourth proportional to 36,815.50, 55,223.25 and 9,113.50 is: 13,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,815.50 : 55,223.25 = 9,113.50 : x
  2. Step 2: Convert to fraction form
    36,815.50/55,223.25 = 9,113.50/x
  3. Step 3: Cross multiply
    36,815.50x = 55,223.25 × 9,113.50
  4. Step 4: Simplify right side
    36,815.50x = 503,277,088.88
  5. Step 5: Solve for x
    x = 503,277,088.88/36,815.50
  6. Step 6: Final answer
    x = 13,670.25

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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.