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Finding the Fourth Proportional to 55,603.50, 76,732.83 and 35,731.50

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Solution

The fourth proportional to 55,603.50, 76,732.83 and 35,731.50 is: 49,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,603.50 : 76,732.83 = 35,731.50 : x
  2. Step 2: Convert to fraction form
    55,603.50/76,732.83 = 35,731.50/x
  3. Step 3: Cross multiply
    55,603.50x = 76,732.83 × 35,731.50
  4. Step 4: Simplify right side
    55,603.50x = 2,741,779,115.15
  5. Step 5: Solve for x
    x = 2,741,779,115.15/55,603.50
  6. Step 6: Final answer
    x = 49,309.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.