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Finding the Fourth Proportional to 122,570.80, 183,834.28 and 32,614

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Solution

The fourth proportional to 122,570.80, 183,834.28 and 32,614 is: 48,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,570.80 : 183,834.28 = 32,614 : x
  2. Step 2: Convert to fraction form
    122,570.80/183,834.28 = 32,614/x
  3. Step 3: Cross multiply
    122,570.80x = 183,834.28 × 32,614
  4. Step 4: Simplify right side
    122,570.80x = 5,995,571,207.92
  5. Step 5: Solve for x
    x = 5,995,571,207.92/122,570.80
  6. Step 6: Final answer
    x = 48,915.17

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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.