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Finding the Fourth Proportional to 76,347.69, 114,427.27 and 55,359.78

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Solution

The fourth proportional to 76,347.69, 114,427.27 and 55,359.78 is: 82,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347.69 : 114,427.27 = 55,359.78 : x
  2. Step 2: Convert to fraction form
    76,347.69/114,427.27 = 55,359.78/x
  3. Step 3: Cross multiply
    76,347.69x = 114,427.27 × 55,359.78
  4. Step 4: Simplify right side
    76,347.69x = 6,334,668,493.20
  5. Step 5: Solve for x
    x = 6,334,668,493.20/76,347.69
  6. Step 6: Final answer
    x = 82,971.32

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