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Finding the Fourth Proportional to 42,465.78, 63,716.22 and 21,394.44

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Solution

The fourth proportional to 42,465.78, 63,716.22 and 21,394.44 is: 32,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,465.78 : 63,716.22 = 21,394.44 : x
  2. Step 2: Convert to fraction form
    42,465.78/63,716.22 = 21,394.44/x
  3. Step 3: Cross multiply
    42,465.78x = 63,716.22 × 21,394.44
  4. Step 4: Simplify right side
    42,465.78x = 1,363,172,845.82
  5. Step 5: Solve for x
    x = 1,363,172,845.82/42,465.78
  6. Step 6: Final answer
    x = 32,100.50

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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.