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Finding the Fourth Proportional to 50,510.52, 69,703.92 and 27,848.88

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Solution

The fourth proportional to 50,510.52, 69,703.92 and 27,848.88 is: 38,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.52 : 69,703.92 = 27,848.88 : x
  2. Step 2: Convert to fraction form
    50,510.52/69,703.92 = 27,848.88/x
  3. Step 3: Cross multiply
    50,510.52x = 69,703.92 × 27,848.88
  4. Step 4: Simplify right side
    50,510.52x = 1,941,176,103.61
  5. Step 5: Solve for x
    x = 1,941,176,103.61/50,510.52
  6. Step 6: Final answer
    x = 38,431.12

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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.