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Finding the Fourth Proportional to 50,036.48, 69,047.68 and 27,680

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Solution

The fourth proportional to 50,036.48, 69,047.68 and 27,680 is: 38,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,036.48 : 69,047.68 = 27,680 : x
  2. Step 2: Convert to fraction form
    50,036.48/69,047.68 = 27,680/x
  3. Step 3: Cross multiply
    50,036.48x = 69,047.68 × 27,680
  4. Step 4: Simplify right side
    50,036.48x = 1,911,239,782.40
  5. Step 5: Solve for x
    x = 1,911,239,782.40/50,036.48
  6. Step 6: Final answer
    x = 38,196.93

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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.