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Finding the Fourth Proportional to 68,774.27, 103,152.29 and 31,293.95

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Solution

The fourth proportional to 68,774.27, 103,152.29 and 31,293.95 is: 46,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,774.27 : 103,152.29 = 31,293.95 : x
  2. Step 2: Convert to fraction form
    68,774.27/103,152.29 = 31,293.95/x
  3. Step 3: Cross multiply
    68,774.27x = 103,152.29 × 31,293.95
  4. Step 4: Simplify right side
    68,774.27x = 3,228,041,933.41
  5. Step 5: Solve for x
    x = 3,228,041,933.41/68,774.27
  6. Step 6: Final answer
    x = 46,936.77

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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.