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Finding the Fourth Proportional to 53,893.92, 74,363.76 and 30,019.98

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Solution

The fourth proportional to 53,893.92, 74,363.76 and 30,019.98 is: 41,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.92 : 74,363.76 = 30,019.98 : x
  2. Step 2: Convert to fraction form
    53,893.92/74,363.76 = 30,019.98/x
  3. Step 3: Cross multiply
    53,893.92x = 74,363.76 × 30,019.98
  4. Step 4: Simplify right side
    53,893.92x = 2,232,398,587.92
  5. Step 5: Solve for x
    x = 2,232,398,587.92/53,893.92
  6. Step 6: Final answer
    x = 41,422.09

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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.