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Finding the Fourth Proportional to 50,509.90, 69,702.14 and 27,538.84

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Solution

The fourth proportional to 50,509.90, 69,702.14 and 27,538.84 is: 38,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.90 : 69,702.14 = 27,538.84 : x
  2. Step 2: Convert to fraction form
    50,509.90/69,702.14 = 27,538.84/x
  3. Step 3: Cross multiply
    50,509.90x = 69,702.14 × 27,538.84
  4. Step 4: Simplify right side
    50,509.90x = 1,919,516,081.12
  5. Step 5: Solve for x
    x = 1,919,516,081.12/50,509.90
  6. Step 6: Final answer
    x = 38,002.77

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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.