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Finding the Fourth Proportional to 84,491.64, 116,624.45 and 48,705.57

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Solution

The fourth proportional to 84,491.64, 116,624.45 and 48,705.57 is: 67,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,491.64 : 116,624.45 = 48,705.57 : x
  2. Step 2: Convert to fraction form
    84,491.64/116,624.45 = 48,705.57/x
  3. Step 3: Cross multiply
    84,491.64x = 116,624.45 × 48,705.57
  4. Step 4: Simplify right side
    84,491.64x = 5,680,260,313.19
  5. Step 5: Solve for x
    x = 5,680,260,313.19/84,491.64
  6. Step 6: Final answer
    x = 67,228.67

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Why These Related Problems?

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