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Finding the Fourth Proportional to 76,825.74, 115,646.34 and 54,791.58

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Solution

The fourth proportional to 76,825.74, 115,646.34 and 54,791.58 is: 82,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,825.74 : 115,646.34 = 54,791.58 : x
  2. Step 2: Convert to fraction form
    76,825.74/115,646.34 = 54,791.58/x
  3. Step 3: Cross multiply
    76,825.74x = 115,646.34 × 54,791.58
  4. Step 4: Simplify right side
    76,825.74x = 6,336,445,689.82
  5. Step 5: Solve for x
    x = 6,336,445,689.82/76,825.74
  6. Step 6: Final answer
    x = 82,478.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.