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Finding the Fourth Proportional to 35,830.72, 49,449.45 and 19,914.76

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Solution

The fourth proportional to 35,830.72, 49,449.45 and 19,914.76 is: 27,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.72 : 49,449.45 = 19,914.76 : x
  2. Step 2: Convert to fraction form
    35,830.72/49,449.45 = 19,914.76/x
  3. Step 3: Cross multiply
    35,830.72x = 49,449.45 × 19,914.76
  4. Step 4: Simplify right side
    35,830.72x = 984,773,928.88
  5. Step 5: Solve for x
    x = 984,773,928.88/35,830.72
  6. Step 6: Final answer
    x = 27,484.07

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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.