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Finding the Fourth Proportional to 58,751.65, 81,078.26 and 31,894.15

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Solution

The fourth proportional to 58,751.65, 81,078.26 and 31,894.15 is: 44,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,751.65 : 81,078.26 = 31,894.15 : x
  2. Step 2: Convert to fraction form
    58,751.65/81,078.26 = 31,894.15/x
  3. Step 3: Cross multiply
    58,751.65x = 81,078.26 × 31,894.15
  4. Step 4: Simplify right side
    58,751.65x = 2,585,922,269.27
  5. Step 5: Solve for x
    x = 2,585,922,269.27/58,751.65
  6. Step 6: Final answer
    x = 44,014.47

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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.