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Finding the Fourth Proportional to 77,970.10, 116,964.29 and 27,353.65

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Solution

The fourth proportional to 77,970.10, 116,964.29 and 27,353.65 is: 41,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.10 : 116,964.29 = 27,353.65 : x
  2. Step 2: Convert to fraction form
    77,970.10/116,964.29 = 27,353.65/x
  3. Step 3: Cross multiply
    77,970.10x = 116,964.29 × 27,353.65
  4. Step 4: Simplify right side
    77,970.10x = 3,199,399,529.57
  5. Step 5: Solve for x
    x = 3,199,399,529.57/77,970.10
  6. Step 6: Final answer
    x = 41,033.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.