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Finding the Fourth Proportional to 36,545.94, 54,821.03 and 10,252.76

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Solution

The fourth proportional to 36,545.94, 54,821.03 and 10,252.76 is: 15,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,545.94 : 54,821.03 = 10,252.76 : x
  2. Step 2: Convert to fraction form
    36,545.94/54,821.03 = 10,252.76/x
  3. Step 3: Cross multiply
    36,545.94x = 54,821.03 × 10,252.76
  4. Step 4: Simplify right side
    36,545.94x = 562,066,538.17
  5. Step 5: Solve for x
    x = 562,066,538.17/36,545.94
  6. Step 6: Final answer
    x = 15,379.73

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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.