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Finding the Fourth Proportional to 76,296.58, 114,423 and 22,993.72

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Solution

The fourth proportional to 76,296.58, 114,423 and 22,993.72 is: 34,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296.58 : 114,423 = 22,993.72 : x
  2. Step 2: Convert to fraction form
    76,296.58/114,423 = 22,993.72/x
  3. Step 3: Cross multiply
    76,296.58x = 114,423 × 22,993.72
  4. Step 4: Simplify right side
    76,296.58x = 2,631,010,423.56
  5. Step 5: Solve for x
    x = 2,631,010,423.56/76,296.58
  6. Step 6: Final answer
    x = 34,483.99

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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.