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Finding the Fourth Proportional to 90,363.58, 124,702.46 and 50,078

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Solution

The fourth proportional to 90,363.58, 124,702.46 and 50,078 is: 69,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,363.58 : 124,702.46 = 50,078 : x
  2. Step 2: Convert to fraction form
    90,363.58/124,702.46 = 50,078/x
  3. Step 3: Cross multiply
    90,363.58x = 124,702.46 × 50,078
  4. Step 4: Simplify right side
    90,363.58x = 6,244,849,791.88
  5. Step 5: Solve for x
    x = 6,244,849,791.88/90,363.58
  6. Step 6: Final answer
    x = 69,108.04

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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.