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Finding the Fourth Proportional to 52,453.32, 78,624.36 and 35,772

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Solution

The fourth proportional to 52,453.32, 78,624.36 and 35,772 is: 53,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.32 : 78,624.36 = 35,772 : x
  2. Step 2: Convert to fraction form
    52,453.32/78,624.36 = 35,772/x
  3. Step 3: Cross multiply
    52,453.32x = 78,624.36 × 35,772
  4. Step 4: Simplify right side
    52,453.32x = 2,812,550,605.92
  5. Step 5: Solve for x
    x = 2,812,550,605.92/52,453.32
  6. Step 6: Final answer
    x = 53,620.07

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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.