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Finding the Fourth Proportional to 122,312.64, 183,467.34 and 33,566.10

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Solution

The fourth proportional to 122,312.64, 183,467.34 and 33,566.10 is: 50,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312.64 : 183,467.34 = 33,566.10 : x
  2. Step 2: Convert to fraction form
    122,312.64/183,467.34 = 33,566.10/x
  3. Step 3: Cross multiply
    122,312.64x = 183,467.34 × 33,566.10
  4. Step 4: Simplify right side
    122,312.64x = 6,158,283,081.17
  5. Step 5: Solve for x
    x = 6,158,283,081.17/122,312.64
  6. Step 6: Final answer
    x = 50,348.71

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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.