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Finding the Fourth Proportional to 73,424, 110,135.64 and 20,833.58

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Solution

The fourth proportional to 73,424, 110,135.64 and 20,833.58 is: 31,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,424 : 110,135.64 = 20,833.58 : x
  2. Step 2: Convert to fraction form
    73,424/110,135.64 = 20,833.58/x
  3. Step 3: Cross multiply
    73,424x = 110,135.64 × 20,833.58
  4. Step 4: Simplify right side
    73,424x = 2,294,519,666.79
  5. Step 5: Solve for x
    x = 2,294,519,666.79/73,424
  6. Step 6: Final answer
    x = 31,250.27

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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.