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Finding the Fourth Proportional to 55,969.72, 77,238.14 and 30,819

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Solution

The fourth proportional to 55,969.72, 77,238.14 and 30,819 is: 42,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,969.72 : 77,238.14 = 30,819 : x
  2. Step 2: Convert to fraction form
    55,969.72/77,238.14 = 30,819/x
  3. Step 3: Cross multiply
    55,969.72x = 77,238.14 × 30,819
  4. Step 4: Simplify right side
    55,969.72x = 2,380,402,236.66
  5. Step 5: Solve for x
    x = 2,380,402,236.66/55,969.72
  6. Step 6: Final answer
    x = 42,530.18

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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.