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Finding the Fourth Proportional to 36,022.40, 49,712.73 and 20,106.98

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Solution

The fourth proportional to 36,022.40, 49,712.73 and 20,106.98 is: 27,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.40 : 49,712.73 = 20,106.98 : x
  2. Step 2: Convert to fraction form
    36,022.40/49,712.73 = 20,106.98/x
  3. Step 3: Cross multiply
    36,022.40x = 49,712.73 × 20,106.98
  4. Step 4: Simplify right side
    36,022.40x = 999,572,867.86
  5. Step 5: Solve for x
    x = 999,572,867.86/36,022.40
  6. Step 6: Final answer
    x = 27,748.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.