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Finding the Fourth Proportional to 55,937.50, 83,942.70 and 28,235.50

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Solution

The fourth proportional to 55,937.50, 83,942.70 and 28,235.50 is: 42,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,937.50 : 83,942.70 = 28,235.50 : x
  2. Step 2: Convert to fraction form
    55,937.50/83,942.70 = 28,235.50/x
  3. Step 3: Cross multiply
    55,937.50x = 83,942.70 × 28,235.50
  4. Step 4: Simplify right side
    55,937.50x = 2,370,164,105.85
  5. Step 5: Solve for x
    x = 2,370,164,105.85/55,937.50
  6. Step 6: Final answer
    x = 42,371.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.