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Finding the Fourth Proportional to 71,718.34, 98,992.15 and 47,844.95

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Solution

The fourth proportional to 71,718.34, 98,992.15 and 47,844.95 is: 66,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718.34 : 98,992.15 = 47,844.95 : x
  2. Step 2: Convert to fraction form
    71,718.34/98,992.15 = 47,844.95/x
  3. Step 3: Cross multiply
    71,718.34x = 98,992.15 × 47,844.95
  4. Step 4: Simplify right side
    71,718.34x = 4,736,274,467.14
  5. Step 5: Solve for x
    x = 4,736,274,467.14/71,718.34
  6. Step 6: Final answer
    x = 66,039.93

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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.