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Finding the Fourth Proportional to 76,213.59, 113,856.79 and 49,340.65

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Solution

The fourth proportional to 76,213.59, 113,856.79 and 49,340.65 is: 73,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213.59 : 113,856.79 = 49,340.65 : x
  2. Step 2: Convert to fraction form
    76,213.59/113,856.79 = 49,340.65/x
  3. Step 3: Cross multiply
    76,213.59x = 113,856.79 × 49,340.65
  4. Step 4: Simplify right side
    76,213.59x = 5,617,767,742.06
  5. Step 5: Solve for x
    x = 5,617,767,742.06/76,213.59
  6. Step 6: Final answer
    x = 73,710.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.