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Finding the Fourth Proportional to 36,123.99, 54,180.51 and 9,830.78

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Solution

The fourth proportional to 36,123.99, 54,180.51 and 9,830.78 is: 14,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.99 : 54,180.51 = 9,830.78 : x
  2. Step 2: Convert to fraction form
    36,123.99/54,180.51 = 9,830.78/x
  3. Step 3: Cross multiply
    36,123.99x = 54,180.51 × 9,830.78
  4. Step 4: Simplify right side
    36,123.99x = 532,636,538.65
  5. Step 5: Solve for x
    x = 532,636,538.65/36,123.99
  6. Step 6: Final answer
    x = 14,744.68

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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.