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Finding the Fourth Proportional to 49,345.76, 68,092.88 and 27,834.32

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Solution

The fourth proportional to 49,345.76, 68,092.88 and 27,834.32 is: 38,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,345.76 : 68,092.88 = 27,834.32 : x
  2. Step 2: Convert to fraction form
    49,345.76/68,092.88 = 27,834.32/x
  3. Step 3: Cross multiply
    49,345.76x = 68,092.88 × 27,834.32
  4. Step 4: Simplify right side
    49,345.76x = 1,895,319,011.64
  5. Step 5: Solve for x
    x = 1,895,319,011.64/49,345.76
  6. Step 6: Final answer
    x = 38,408.95

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1.5x scale

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.