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Finding the Fourth Proportional to 76,497.50, 114,746.25 and 23,907.44

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Solution

The fourth proportional to 76,497.50, 114,746.25 and 23,907.44 is: 35,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.50 : 114,746.25 = 23,907.44 : x
  2. Step 2: Convert to fraction form
    76,497.50/114,746.25 = 23,907.44/x
  3. Step 3: Cross multiply
    76,497.50x = 114,746.25 × 23,907.44
  4. Step 4: Simplify right side
    76,497.50x = 2,743,288,513.37
  5. Step 5: Solve for x
    x = 2,743,288,513.37/76,497.50
  6. Step 6: Final answer
    x = 35,861.15

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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.