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Finding the Fourth Proportional to 76,000.31, 114,000.50 and 19,840.26

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Solution

The fourth proportional to 76,000.31, 114,000.50 and 19,840.26 is: 29,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.31 : 114,000.50 = 19,840.26 : x
  2. Step 2: Convert to fraction form
    76,000.31/114,000.50 = 19,840.26/x
  3. Step 3: Cross multiply
    76,000.31x = 114,000.50 × 19,840.26
  4. Step 4: Simplify right side
    76,000.31x = 2,261,799,560.13
  5. Step 5: Solve for x
    x = 2,261,799,560.13/76,000.31
  6. Step 6: Final answer
    x = 29,760.40

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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.