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Finding the Fourth Proportional to 76,016.30, 114,024.45 and 19,856.30

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Solution

The fourth proportional to 76,016.30, 114,024.45 and 19,856.30 is: 29,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,016.30 : 114,024.45 = 19,856.30 : x
  2. Step 2: Convert to fraction form
    76,016.30/114,024.45 = 19,856.30/x
  3. Step 3: Cross multiply
    76,016.30x = 114,024.45 × 19,856.30
  4. Step 4: Simplify right side
    76,016.30x = 2,264,103,686.54
  5. Step 5: Solve for x
    x = 2,264,103,686.54/76,016.30
  6. Step 6: Final answer
    x = 29,784.45

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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.