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Finding the Fourth Proportional to 74,498.86, 111,748.30 and 21,908.80

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Solution

The fourth proportional to 74,498.86, 111,748.30 and 21,908.80 is: 32,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498.86 : 111,748.30 = 21,908.80 : x
  2. Step 2: Convert to fraction form
    74,498.86/111,748.30 = 21,908.80/x
  3. Step 3: Cross multiply
    74,498.86x = 111,748.30 × 21,908.80
  4. Step 4: Simplify right side
    74,498.86x = 2,448,271,155.04
  5. Step 5: Solve for x
    x = 2,448,271,155.04/74,498.86
  6. Step 6: Final answer
    x = 32,863.20

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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.