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Finding the Fourth Proportional to 76,347.50, 114,404.46 and 40,813.88

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Solution

The fourth proportional to 76,347.50, 114,404.46 and 40,813.88 is: 61,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347.50 : 114,404.46 = 40,813.88 : x
  2. Step 2: Convert to fraction form
    76,347.50/114,404.46 = 40,813.88/x
  3. Step 3: Cross multiply
    76,347.50x = 114,404.46 × 40,813.88
  4. Step 4: Simplify right side
    76,347.50x = 4,669,289,901.90
  5. Step 5: Solve for x
    x = 4,669,289,901.90/76,347.50
  6. Step 6: Final answer
    x = 61,158.39

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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.