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Finding the Fourth Proportional to 42,624.36, 58,824.83 and 24,719.22

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Solution

The fourth proportional to 42,624.36, 58,824.83 and 24,719.22 is: 34,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624.36 : 58,824.83 = 24,719.22 : x
  2. Step 2: Convert to fraction form
    42,624.36/58,824.83 = 24,719.22/x
  3. Step 3: Cross multiply
    42,624.36x = 58,824.83 × 24,719.22
  4. Step 4: Simplify right side
    42,624.36x = 1,454,103,790.64
  5. Step 5: Solve for x
    x = 1,454,103,790.64/42,624.36
  6. Step 6: Final answer
    x = 34,114.38

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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.