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Finding the Fourth Proportional to 76,345.25, 114,525.71 and 26,425.26

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Solution

The fourth proportional to 76,345.25, 114,525.71 and 26,425.26 is: 39,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.25 : 114,525.71 = 26,425.26 : x
  2. Step 2: Convert to fraction form
    76,345.25/114,525.71 = 26,425.26/x
  3. Step 3: Cross multiply
    76,345.25x = 114,525.71 × 26,425.26
  4. Step 4: Simplify right side
    76,345.25x = 3,026,371,729.50
  5. Step 5: Solve for x
    x = 3,026,371,729.50/76,345.25
  6. Step 6: Final answer
    x = 39,640.61

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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.