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Finding the Fourth Proportional to 58,954.38, 81,358.74 and 32,097.35

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Solution

The fourth proportional to 58,954.38, 81,358.74 and 32,097.35 is: 44,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,954.38 : 81,358.74 = 32,097.35 : x
  2. Step 2: Convert to fraction form
    58,954.38/81,358.74 = 32,097.35/x
  3. Step 3: Cross multiply
    58,954.38x = 81,358.74 × 32,097.35
  4. Step 4: Simplify right side
    58,954.38x = 2,611,399,546.55
  5. Step 5: Solve for x
    x = 2,611,399,546.55/58,954.38
  6. Step 6: Final answer
    x = 44,295.26

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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.