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Finding the Fourth Proportional to 64,176.96, 96,240.96 and 30,889.28

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Solution

The fourth proportional to 64,176.96, 96,240.96 and 30,889.28 is: 46,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176.96 : 96,240.96 = 30,889.28 : x
  2. Step 2: Convert to fraction form
    64,176.96/96,240.96 = 30,889.28/x
  3. Step 3: Cross multiply
    64,176.96x = 96,240.96 × 30,889.28
  4. Step 4: Simplify right side
    64,176.96x = 2,972,813,960.91
  5. Step 5: Solve for x
    x = 2,972,813,960.91/64,176.96
  6. Step 6: Final answer
    x = 46,322.14

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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.