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Finding the Fourth Proportional to 76,814, 115,266.36 and 32,437.88

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Solution

The fourth proportional to 76,814, 115,266.36 and 32,437.88 is: 48,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814 : 115,266.36 = 32,437.88 : x
  2. Step 2: Convert to fraction form
    76,814/115,266.36 = 32,437.88/x
  3. Step 3: Cross multiply
    76,814x = 115,266.36 × 32,437.88
  4. Step 4: Simplify right side
    76,814x = 3,738,996,353.72
  5. Step 5: Solve for x
    x = 3,738,996,353.72/76,814
  6. Step 6: Final answer
    x = 48,675.98

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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.