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Finding the Fourth Proportional to 64,546.40, 96,775.20 and 32,895.20

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Solution

The fourth proportional to 64,546.40, 96,775.20 and 32,895.20 is: 49,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546.40 : 96,775.20 = 32,895.20 : x
  2. Step 2: Convert to fraction form
    64,546.40/96,775.20 = 32,895.20/x
  3. Step 3: Cross multiply
    64,546.40x = 96,775.20 × 32,895.20
  4. Step 4: Simplify right side
    64,546.40x = 3,183,439,559.04
  5. Step 5: Solve for x
    x = 3,183,439,559.04/64,546.40
  6. Step 6: Final answer
    x = 49,320.17

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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.