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Finding the Fourth Proportional to 75,505.66, 113,255.61 and 22,913.02

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Solution

The fourth proportional to 75,505.66, 113,255.61 and 22,913.02 is: 34,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505.66 : 113,255.61 = 22,913.02 : x
  2. Step 2: Convert to fraction form
    75,505.66/113,255.61 = 22,913.02/x
  3. Step 3: Cross multiply
    75,505.66x = 113,255.61 × 22,913.02
  4. Step 4: Simplify right side
    75,505.66x = 2,595,028,057.04
  5. Step 5: Solve for x
    x = 2,595,028,057.04/75,505.66
  6. Step 6: Final answer
    x = 34,368.66

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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.