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Finding the Fourth Proportional to 55,535.57, 76,641 and 30,385.07

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Solution

The fourth proportional to 55,535.57, 76,641 and 30,385.07 is: 41,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,535.57 : 76,641 = 30,385.07 : x
  2. Step 2: Convert to fraction form
    55,535.57/76,641 = 30,385.07/x
  3. Step 3: Cross multiply
    55,535.57x = 76,641 × 30,385.07
  4. Step 4: Simplify right side
    55,535.57x = 2,328,742,149.87
  5. Step 5: Solve for x
    x = 2,328,742,149.87/55,535.57
  6. Step 6: Final answer
    x = 41,932.44

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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.