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Finding the Fourth Proportional to 50,196, 69,270.48 and 27,840

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Solution

The fourth proportional to 50,196, 69,270.48 and 27,840 is: 38,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196 : 69,270.48 = 27,840 : x
  2. Step 2: Convert to fraction form
    50,196/69,270.48 = 27,840/x
  3. Step 3: Cross multiply
    50,196x = 69,270.48 × 27,840
  4. Step 4: Simplify right side
    50,196x = 1,928,490,163.20
  5. Step 5: Solve for x
    x = 1,928,490,163.20/50,196
  6. Step 6: Final answer
    x = 38,419.20

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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.