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Finding the Fourth Proportional to 54,800.50, 75,624.70 and 29,650

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Solution

The fourth proportional to 54,800.50, 75,624.70 and 29,650 is: 40,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,800.50 : 75,624.70 = 29,650 : x
  2. Step 2: Convert to fraction form
    54,800.50/75,624.70 = 29,650/x
  3. Step 3: Cross multiply
    54,800.50x = 75,624.70 × 29,650
  4. Step 4: Simplify right side
    54,800.50x = 2,242,272,355
  5. Step 5: Solve for x
    x = 2,242,272,355/54,800.50
  6. Step 6: Final answer
    x = 40,917.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.