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Finding the Fourth Proportional to 76,820.94, 106,014.03 and 42,828.42

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Solution

The fourth proportional to 76,820.94, 106,014.03 and 42,828.42 is: 59,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820.94 : 106,014.03 = 42,828.42 : x
  2. Step 2: Convert to fraction form
    76,820.94/106,014.03 = 42,828.42/x
  3. Step 3: Cross multiply
    76,820.94x = 106,014.03 × 42,828.42
  4. Step 4: Simplify right side
    76,820.94x = 4,540,413,402.73
  5. Step 5: Solve for x
    x = 4,540,413,402.73/76,820.94
  6. Step 6: Final answer
    x = 59,103.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.