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Finding the Fourth Proportional to 58,834.38, 81,191.94 and 31,976.91

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Solution

The fourth proportional to 58,834.38, 81,191.94 and 31,976.91 is: 44,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,834.38 : 81,191.94 = 31,976.91 : x
  2. Step 2: Convert to fraction form
    58,834.38/81,191.94 = 31,976.91/x
  3. Step 3: Cross multiply
    58,834.38x = 81,191.94 × 31,976.91
  4. Step 4: Simplify right side
    58,834.38x = 2,596,267,238.19
  5. Step 5: Solve for x
    x = 2,596,267,238.19/58,834.38
  6. Step 6: Final answer
    x = 44,128.40

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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.