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Finding the Fourth Proportional to 50,705.17, 69,972.69 and 28,045.82

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Solution

The fourth proportional to 50,705.17, 69,972.69 and 28,045.82 is: 38,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,705.17 : 69,972.69 = 28,045.82 : x
  2. Step 2: Convert to fraction form
    50,705.17/69,972.69 = 28,045.82/x
  3. Step 3: Cross multiply
    50,705.17x = 69,972.69 × 28,045.82
  4. Step 4: Simplify right side
    50,705.17x = 1,962,441,468.66
  5. Step 5: Solve for x
    x = 1,962,441,468.66/50,705.17
  6. Step 6: Final answer
    x = 38,702.99

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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.