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Finding the Fourth Proportional to 72,582.36, 108,873.50 and 22,666.74

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Solution

The fourth proportional to 72,582.36, 108,873.50 and 22,666.74 is: 34,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582.36 : 108,873.50 = 22,666.74 : x
  2. Step 2: Convert to fraction form
    72,582.36/108,873.50 = 22,666.74/x
  3. Step 3: Cross multiply
    72,582.36x = 108,873.50 × 22,666.74
  4. Step 4: Simplify right side
    72,582.36x = 2,467,807,169.92
  5. Step 5: Solve for x
    x = 2,467,807,169.92/72,582.36
  6. Step 6: Final answer
    x = 34,000.09

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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.