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Finding the Fourth Proportional to 64,332, 96,549.84 and 33,176.16

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Solution

The fourth proportional to 64,332, 96,549.84 and 33,176.16 is: 49,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,332 : 96,549.84 = 33,176.16 : x
  2. Step 2: Convert to fraction form
    64,332/96,549.84 = 33,176.16/x
  3. Step 3: Cross multiply
    64,332x = 96,549.84 × 33,176.16
  4. Step 4: Simplify right side
    64,332x = 3,203,152,939.81
  5. Step 5: Solve for x
    x = 3,203,152,939.81/64,332
  6. Step 6: Final answer
    x = 49,790.97

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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.