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Finding the Fourth Proportional to 122,580.80, 183,849.28 and 32,624

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Solution

The fourth proportional to 122,580.80, 183,849.28 and 32,624 is: 48,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,580.80 : 183,849.28 = 32,624 : x
  2. Step 2: Convert to fraction form
    122,580.80/183,849.28 = 32,624/x
  3. Step 3: Cross multiply
    122,580.80x = 183,849.28 × 32,624
  4. Step 4: Simplify right side
    122,580.80x = 5,997,898,910.72
  5. Step 5: Solve for x
    x = 5,997,898,910.72/122,580.80
  6. Step 6: Final answer
    x = 48,930.17

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