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Finding the Fourth Proportional to 35,688.30, 49,250.25 and 19,773

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Solution

The fourth proportional to 35,688.30, 49,250.25 and 19,773 is: 27,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688.30 : 49,250.25 = 19,773 : x
  2. Step 2: Convert to fraction form
    35,688.30/49,250.25 = 19,773/x
  3. Step 3: Cross multiply
    35,688.30x = 49,250.25 × 19,773
  4. Step 4: Simplify right side
    35,688.30x = 973,825,193.25
  5. Step 5: Solve for x
    x = 973,825,193.25/35,688.30
  6. Step 6: Final answer
    x = 27,286.96

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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.