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Finding the Fourth Proportional to 50,088, 69,121.44 and 27,732

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Solution

The fourth proportional to 50,088, 69,121.44 and 27,732 is: 38,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088 : 69,121.44 = 27,732 : x
  2. Step 2: Convert to fraction form
    50,088/69,121.44 = 27,732/x
  3. Step 3: Cross multiply
    50,088x = 69,121.44 × 27,732
  4. Step 4: Simplify right side
    50,088x = 1,916,875,774.08
  5. Step 5: Solve for x
    x = 1,916,875,774.08/50,088
  6. Step 6: Final answer
    x = 38,270.16

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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.