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Finding the Fourth Proportional to 76,793, 105,974.85 and 42,803.67

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Solution

The fourth proportional to 76,793, 105,974.85 and 42,803.67 is: 59,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793 : 105,974.85 = 42,803.67 : x
  2. Step 2: Convert to fraction form
    76,793/105,974.85 = 42,803.67/x
  3. Step 3: Cross multiply
    76,793x = 105,974.85 × 42,803.67
  4. Step 4: Simplify right side
    76,793x = 4,536,112,507.70
  5. Step 5: Solve for x
    x = 4,536,112,507.70/76,793
  6. Step 6: Final answer
    x = 59,069.35

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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.