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Finding the Fourth Proportional to 37,647.76, 56,360.69 and 32,976.90

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Solution

The fourth proportional to 37,647.76, 56,360.69 and 32,976.90 is: 49,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647.76 : 56,360.69 = 32,976.90 : x
  2. Step 2: Convert to fraction form
    37,647.76/56,360.69 = 32,976.90/x
  3. Step 3: Cross multiply
    37,647.76x = 56,360.69 × 32,976.90
  4. Step 4: Simplify right side
    37,647.76x = 1,858,600,838.06
  5. Step 5: Solve for x
    x = 1,858,600,838.06/37,647.76
  6. Step 6: Final answer
    x = 49,368.17

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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.