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Finding the Fourth Proportional to 73,575, 110,344.24 and 20,984.92

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Solution

The fourth proportional to 73,575, 110,344.24 and 20,984.92 is: 31,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,575 : 110,344.24 = 20,984.92 : x
  2. Step 2: Convert to fraction form
    73,575/110,344.24 = 20,984.92/x
  3. Step 3: Cross multiply
    73,575x = 110,344.24 × 20,984.92
  4. Step 4: Simplify right side
    73,575x = 2,315,565,048.86
  5. Step 5: Solve for x
    x = 2,315,565,048.86/73,575
  6. Step 6: Final answer
    x = 31,472.17

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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.