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Finding the Fourth Proportional to 49,288.98, 68,018.71 and 28,068.24

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Solution

The fourth proportional to 49,288.98, 68,018.71 and 28,068.24 is: 38,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,288.98 : 68,018.71 = 28,068.24 : x
  2. Step 2: Convert to fraction form
    49,288.98/68,018.71 = 28,068.24/x
  3. Step 3: Cross multiply
    49,288.98x = 68,018.71 × 28,068.24
  4. Step 4: Simplify right side
    49,288.98x = 1,909,165,476.77
  5. Step 5: Solve for x
    x = 1,909,165,476.77/49,288.98
  6. Step 6: Final answer
    x = 38,734.12

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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.