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Finding the Fourth Proportional to 48,592, 72,892.50 and 22,292.92

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Solution

The fourth proportional to 48,592, 72,892.50 and 22,292.92 is: 33,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592 : 72,892.50 = 22,292.92 : x
  2. Step 2: Convert to fraction form
    48,592/72,892.50 = 22,292.92/x
  3. Step 3: Cross multiply
    48,592x = 72,892.50 × 22,292.92
  4. Step 4: Simplify right side
    48,592x = 1,624,986,671.10
  5. Step 5: Solve for x
    x = 1,624,986,671.10/48,592
  6. Step 6: Final answer
    x = 33,441.44

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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.