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Finding the Fourth Proportional to 36,583.86, 54,875.84 and 10,288.62

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Solution

The fourth proportional to 36,583.86, 54,875.84 and 10,288.62 is: 15,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583.86 : 54,875.84 = 10,288.62 : x
  2. Step 2: Convert to fraction form
    36,583.86/54,875.84 = 10,288.62/x
  3. Step 3: Cross multiply
    36,583.86x = 54,875.84 × 10,288.62
  4. Step 4: Simplify right side
    36,583.86x = 564,596,613.50
  5. Step 5: Solve for x
    x = 564,596,613.50/36,583.86
  6. Step 6: Final answer
    x = 15,432.94

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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.