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Finding the Fourth Proportional to 122,030.50, 183,049 and 38,924.50

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Solution

The fourth proportional to 122,030.50, 183,049 and 38,924.50 is: 58,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,030.50 : 183,049 = 38,924.50 : x
  2. Step 2: Convert to fraction form
    122,030.50/183,049 = 38,924.50/x
  3. Step 3: Cross multiply
    122,030.50x = 183,049 × 38,924.50
  4. Step 4: Simplify right side
    122,030.50x = 7,125,090,800.50
  5. Step 5: Solve for x
    x = 7,125,090,800.50/122,030.50
  6. Step 6: Final answer
    x = 58,387.79

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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.