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Finding the Fourth Proportional to 42,425.83, 58,544.22 and 24,522

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Solution

The fourth proportional to 42,425.83, 58,544.22 and 24,522 is: 33,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,425.83 : 58,544.22 = 24,522 : x
  2. Step 2: Convert to fraction form
    42,425.83/58,544.22 = 24,522/x
  3. Step 3: Cross multiply
    42,425.83x = 58,544.22 × 24,522
  4. Step 4: Simplify right side
    42,425.83x = 1,435,621,362.84
  5. Step 5: Solve for x
    x = 1,435,621,362.84/42,425.83
  6. Step 6: Final answer
    x = 33,838.38

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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.