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Finding the Fourth Proportional to 50,172, 69,237.36 and 27,816

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Solution

The fourth proportional to 50,172, 69,237.36 and 27,816 is: 38,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172 : 69,237.36 = 27,816 : x
  2. Step 2: Convert to fraction form
    50,172/69,237.36 = 27,816/x
  3. Step 3: Cross multiply
    50,172x = 69,237.36 × 27,816
  4. Step 4: Simplify right side
    50,172x = 1,925,906,405.76
  5. Step 5: Solve for x
    x = 1,925,906,405.76/50,172
  6. Step 6: Final answer
    x = 38,386.08

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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.