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Finding the Fourth Proportional to 76,826.58, 115,086.15 and 61,058.22

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Solution

The fourth proportional to 76,826.58, 115,086.15 and 61,058.22 is: 91,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826.58 : 115,086.15 = 61,058.22 : x
  2. Step 2: Convert to fraction form
    76,826.58/115,086.15 = 61,058.22/x
  3. Step 3: Cross multiply
    76,826.58x = 115,086.15 × 61,058.22
  4. Step 4: Simplify right side
    76,826.58x = 7,026,955,465.65
  5. Step 5: Solve for x
    x = 7,026,955,465.65/76,826.58
  6. Step 6: Final answer
    x = 91,465.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.