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Finding the Fourth Proportional to 73,200.78, 109,799.13 and 23,283.87

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Solution

The fourth proportional to 73,200.78, 109,799.13 and 23,283.87 is: 34,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200.78 : 109,799.13 = 23,283.87 : x
  2. Step 2: Convert to fraction form
    73,200.78/109,799.13 = 23,283.87/x
  3. Step 3: Cross multiply
    73,200.78x = 109,799.13 × 23,283.87
  4. Step 4: Simplify right side
    73,200.78x = 2,556,548,669.03
  5. Step 5: Solve for x
    x = 2,556,548,669.03/73,200.78
  6. Step 6: Final answer
    x = 34,925.16

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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.