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Finding the Fourth Proportional to 35,772.48, 49,365.28 and 19,856

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Solution

The fourth proportional to 35,772.48, 49,365.28 and 19,856 is: 27,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.48 : 49,365.28 = 19,856 : x
  2. Step 2: Convert to fraction form
    35,772.48/49,365.28 = 19,856/x
  3. Step 3: Cross multiply
    35,772.48x = 49,365.28 × 19,856
  4. Step 4: Simplify right side
    35,772.48x = 980,196,999.68
  5. Step 5: Solve for x
    x = 980,196,999.68/35,772.48
  6. Step 6: Final answer
    x = 27,400.87

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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.