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Finding the Fourth Proportional to 50,336, 75,492.33 and 22,240.74

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Solution

The fourth proportional to 50,336, 75,492.33 and 22,240.74 is: 33,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,336 : 75,492.33 = 22,240.74 : x
  2. Step 2: Convert to fraction form
    50,336/75,492.33 = 22,240.74/x
  3. Step 3: Cross multiply
    50,336x = 75,492.33 × 22,240.74
  4. Step 4: Simplify right side
    50,336x = 1,679,005,283.52
  5. Step 5: Solve for x
    x = 1,679,005,283.52/50,336
  6. Step 6: Final answer
    x = 33,355.95

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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.