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Finding the Fourth Proportional to 48,970.98, 73,455.12 and 32,923.80

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Solution

The fourth proportional to 48,970.98, 73,455.12 and 32,923.80 is: 49,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.98 : 73,455.12 = 32,923.80 : x
  2. Step 2: Convert to fraction form
    48,970.98/73,455.12 = 32,923.80/x
  3. Step 3: Cross multiply
    48,970.98x = 73,455.12 × 32,923.80
  4. Step 4: Simplify right side
    48,970.98x = 2,418,421,679.86
  5. Step 5: Solve for x
    x = 2,418,421,679.86/48,970.98
  6. Step 6: Final answer
    x = 49,384.79

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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.