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Finding the Fourth Proportional to 76,595.20, 114,893.57 and 23,295.81

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Solution

The fourth proportional to 76,595.20, 114,893.57 and 23,295.81 is: 34,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,595.20 : 114,893.57 = 23,295.81 : x
  2. Step 2: Convert to fraction form
    76,595.20/114,893.57 = 23,295.81/x
  3. Step 3: Cross multiply
    76,595.20x = 114,893.57 × 23,295.81
  4. Step 4: Simplify right side
    76,595.20x = 2,676,538,776.94
  5. Step 5: Solve for x
    x = 2,676,538,776.94/76,595.20
  6. Step 6: Final answer
    x = 34,943.95

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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.