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Finding the Fourth Proportional to 122,337.56, 183,506 and 33,591.16

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Solution

The fourth proportional to 122,337.56, 183,506 and 33,591.16 is: 50,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,337.56 : 183,506 = 33,591.16 : x
  2. Step 2: Convert to fraction form
    122,337.56/183,506 = 33,591.16/x
  3. Step 3: Cross multiply
    122,337.56x = 183,506 × 33,591.16
  4. Step 4: Simplify right side
    122,337.56x = 6,164,179,406.96
  5. Step 5: Solve for x
    x = 6,164,179,406.96/122,337.56
  6. Step 6: Final answer
    x = 50,386.65

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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.