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Finding the Fourth Proportional to 55,834.30, 77,051.64 and 30,340.86

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Solution

The fourth proportional to 55,834.30, 77,051.64 and 30,340.86 is: 41,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,834.30 : 77,051.64 = 30,340.86 : x
  2. Step 2: Convert to fraction form
    55,834.30/77,051.64 = 30,340.86/x
  3. Step 3: Cross multiply
    55,834.30x = 77,051.64 × 30,340.86
  4. Step 4: Simplify right side
    55,834.30x = 2,337,813,022.01
  5. Step 5: Solve for x
    x = 2,337,813,022.01/55,834.30
  6. Step 6: Final answer
    x = 41,870.55

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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.