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Finding the Fourth Proportional to 122,053.67, 183,097.82 and 37,820.45

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Solution

The fourth proportional to 122,053.67, 183,097.82 and 37,820.45 is: 56,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,053.67 : 183,097.82 = 37,820.45 : x
  2. Step 2: Convert to fraction form
    122,053.67/183,097.82 = 37,820.45/x
  3. Step 3: Cross multiply
    122,053.67x = 183,097.82 × 37,820.45
  4. Step 4: Simplify right side
    122,053.67x = 6,924,840,841.83
  5. Step 5: Solve for x
    x = 6,924,840,841.83/122,053.67
  6. Step 6: Final answer
    x = 56,736.03

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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.