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Finding the Fourth Proportional to 92,329.92, 138,368.52 and 50,154.84

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Solution

The fourth proportional to 92,329.92, 138,368.52 and 50,154.84 is: 75,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,329.92 : 138,368.52 = 50,154.84 : x
  2. Step 2: Convert to fraction form
    92,329.92/138,368.52 = 50,154.84/x
  3. Step 3: Cross multiply
    92,329.92x = 138,368.52 × 50,154.84
  4. Step 4: Simplify right side
    92,329.92x = 6,939,850,981.64
  5. Step 5: Solve for x
    x = 6,939,850,981.64/92,329.92
  6. Step 6: Final answer
    x = 75,163.62

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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.