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Finding the Fourth Proportional to 117,878.44, 176,753.04 and 46,729

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Solution

The fourth proportional to 117,878.44, 176,753.04 and 46,729 is: 70,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,878.44 : 176,753.04 = 46,729 : x
  2. Step 2: Convert to fraction form
    117,878.44/176,753.04 = 46,729/x
  3. Step 3: Cross multiply
    117,878.44x = 176,753.04 × 46,729
  4. Step 4: Simplify right side
    117,878.44x = 8,259,492,806.16
  5. Step 5: Solve for x
    x = 8,259,492,806.16/117,878.44
  6. Step 6: Final answer
    x = 70,067.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.