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Finding the Fourth Proportional to 50,698.13, 69,964.02 and 28,038.98

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Solution

The fourth proportional to 50,698.13, 69,964.02 and 28,038.98 is: 38,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.13 : 69,964.02 = 28,038.98 : x
  2. Step 2: Convert to fraction form
    50,698.13/69,964.02 = 28,038.98/x
  3. Step 3: Cross multiply
    50,698.13x = 69,964.02 × 28,038.98
  4. Step 4: Simplify right side
    50,698.13x = 1,961,719,932.41
  5. Step 5: Solve for x
    x = 1,961,719,932.41/50,698.13
  6. Step 6: Final answer
    x = 38,694.13

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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.