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Finding the Fourth Proportional to 35,970.37, 49,656.72 and 27,886.17

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Solution

The fourth proportional to 35,970.37, 49,656.72 and 27,886.17 is: 38,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.37 : 49,656.72 = 27,886.17 : x
  2. Step 2: Convert to fraction form
    35,970.37/49,656.72 = 27,886.17/x
  3. Step 3: Cross multiply
    35,970.37x = 49,656.72 × 27,886.17
  4. Step 4: Simplify right side
    35,970.37x = 1,384,735,735.56
  5. Step 5: Solve for x
    x = 1,384,735,735.56/35,970.37
  6. Step 6: Final answer
    x = 38,496.57

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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.