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Finding the Fourth Proportional to 59,413, 81,989.94 and 32,917

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Solution

The fourth proportional to 59,413, 81,989.94 and 32,917 is: 45,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413 : 81,989.94 = 32,917 : x
  2. Step 2: Convert to fraction form
    59,413/81,989.94 = 32,917/x
  3. Step 3: Cross multiply
    59,413x = 81,989.94 × 32,917
  4. Step 4: Simplify right side
    59,413x = 2,698,862,854.98
  5. Step 5: Solve for x
    x = 2,698,862,854.98/59,413
  6. Step 6: Final answer
    x = 45,425.46

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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.