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Finding the Fourth Proportional to 55,834.27, 77,051.80 and 30,340.64

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Solution

The fourth proportional to 55,834.27, 77,051.80 and 30,340.64 is: 41,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,834.27 : 77,051.80 = 30,340.64 : x
  2. Step 2: Convert to fraction form
    55,834.27/77,051.80 = 30,340.64/x
  3. Step 3: Cross multiply
    55,834.27x = 77,051.80 × 30,340.64
  4. Step 4: Simplify right side
    55,834.27x = 2,337,800,713.31
  5. Step 5: Solve for x
    x = 2,337,800,713.31/55,834.27
  6. Step 6: Final answer
    x = 41,870.35

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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.