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Finding the Fourth Proportional to 65,706.45, 90,678.25 and 40,204.81

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Solution

The fourth proportional to 65,706.45, 90,678.25 and 40,204.81 is: 55,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.45 : 90,678.25 = 40,204.81 : x
  2. Step 2: Convert to fraction form
    65,706.45/90,678.25 = 40,204.81/x
  3. Step 3: Cross multiply
    65,706.45x = 90,678.25 × 40,204.81
  4. Step 4: Simplify right side
    65,706.45x = 3,645,701,812.38
  5. Step 5: Solve for x
    x = 3,645,701,812.38/65,706.45
  6. Step 6: Final answer
    x = 55,484.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.