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Finding the Fourth Proportional to 58,277.86, 80,422.38 and 34,081.14

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Solution

The fourth proportional to 58,277.86, 80,422.38 and 34,081.14 is: 47,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,277.86 : 80,422.38 = 34,081.14 : x
  2. Step 2: Convert to fraction form
    58,277.86/80,422.38 = 34,081.14/x
  3. Step 3: Cross multiply
    58,277.86x = 80,422.38 × 34,081.14
  4. Step 4: Simplify right side
    58,277.86x = 2,740,886,391.91
  5. Step 5: Solve for x
    x = 2,740,886,391.91/58,277.86
  6. Step 6: Final answer
    x = 47,031.35

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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.