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Finding the Fourth Proportional to 86,714.16, 119,764.26 and 58,370.64

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Solution

The fourth proportional to 86,714.16, 119,764.26 and 58,370.64 is: 80,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,714.16 : 119,764.26 = 58,370.64 : x
  2. Step 2: Convert to fraction form
    86,714.16/119,764.26 = 58,370.64/x
  3. Step 3: Cross multiply
    86,714.16x = 119,764.26 × 58,370.64
  4. Step 4: Simplify right side
    86,714.16x = 6,990,716,505.33
  5. Step 5: Solve for x
    x = 6,990,716,505.33/86,714.16
  6. Step 6: Final answer
    x = 80,617.93

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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.