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Finding the Fourth Proportional to 122,416, 183,621.72 and 33,669.12

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Solution

The fourth proportional to 122,416, 183,621.72 and 33,669.12 is: 50,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,416 : 183,621.72 = 33,669.12 : x
  2. Step 2: Convert to fraction form
    122,416/183,621.72 = 33,669.12/x
  3. Step 3: Cross multiply
    122,416x = 183,621.72 × 33,669.12
  4. Step 4: Simplify right side
    122,416x = 6,182,381,725.29
  5. Step 5: Solve for x
    x = 6,182,381,725.29/122,416
  6. Step 6: Final answer
    x = 50,503.05

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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.