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Finding the Fourth Proportional to 59,013, 81,437.94 and 32,517

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Solution

The fourth proportional to 59,013, 81,437.94 and 32,517 is: 44,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,013 : 81,437.94 = 32,517 : x
  2. Step 2: Convert to fraction form
    59,013/81,437.94 = 32,517/x
  3. Step 3: Cross multiply
    59,013x = 81,437.94 × 32,517
  4. Step 4: Simplify right side
    59,013x = 2,648,117,494.98
  5. Step 5: Solve for x
    x = 2,648,117,494.98/59,013
  6. Step 6: Final answer
    x = 44,873.46

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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.