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Finding the Fourth Proportional to 64,497.40, 96,738.84 and 22,369.72

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Solution

The fourth proportional to 64,497.40, 96,738.84 and 22,369.72 is: 33,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,497.40 : 96,738.84 = 22,369.72 : x
  2. Step 2: Convert to fraction form
    64,497.40/96,738.84 = 22,369.72/x
  3. Step 3: Cross multiply
    64,497.40x = 96,738.84 × 22,369.72
  4. Step 4: Simplify right side
    64,497.40x = 2,164,020,763.92
  5. Step 5: Solve for x
    x = 2,164,020,763.92/64,497.40
  6. Step 6: Final answer
    x = 33,552.06

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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.