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Finding the Fourth Proportional to 61,398.54, 84,684.56 and 42,284.43

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Solution

The fourth proportional to 61,398.54, 84,684.56 and 42,284.43 is: 58,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398.54 : 84,684.56 = 42,284.43 : x
  2. Step 2: Convert to fraction form
    61,398.54/84,684.56 = 42,284.43/x
  3. Step 3: Cross multiply
    61,398.54x = 84,684.56 × 42,284.43
  4. Step 4: Simplify right side
    61,398.54x = 3,580,838,137.98
  5. Step 5: Solve for x
    x = 3,580,838,137.98/61,398.54
  6. Step 6: Final answer
    x = 58,321.23

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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.