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Finding the Fourth Proportional to 35,647.20, 49,188.80 and 19,730.68

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Solution

The fourth proportional to 35,647.20, 49,188.80 and 19,730.68 is: 27,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.20 : 49,188.80 = 19,730.68 : x
  2. Step 2: Convert to fraction form
    35,647.20/49,188.80 = 19,730.68/x
  3. Step 3: Cross multiply
    35,647.20x = 49,188.80 × 19,730.68
  4. Step 4: Simplify right side
    35,647.20x = 970,528,472.38
  5. Step 5: Solve for x
    x = 970,528,472.38/35,647.20
  6. Step 6: Final answer
    x = 27,225.94

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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.