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Finding the Fourth Proportional to 58,993, 81,410.34 and 32,497

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Solution

The fourth proportional to 58,993, 81,410.34 and 32,497 is: 44,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,993 : 81,410.34 = 32,497 : x
  2. Step 2: Convert to fraction form
    58,993/81,410.34 = 32,497/x
  3. Step 3: Cross multiply
    58,993x = 81,410.34 × 32,497
  4. Step 4: Simplify right side
    58,993x = 2,645,591,818.98
  5. Step 5: Solve for x
    x = 2,645,591,818.98/58,993
  6. Step 6: Final answer
    x = 44,845.86

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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.