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Finding the Fourth Proportional to 55,707.81, 83,614.78 and 34,583.93

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Solution

The fourth proportional to 55,707.81, 83,614.78 and 34,583.93 is: 51,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.81 : 83,614.78 = 34,583.93 : x
  2. Step 2: Convert to fraction form
    55,707.81/83,614.78 = 34,583.93/x
  3. Step 3: Cross multiply
    55,707.81x = 83,614.78 × 34,583.93
  4. Step 4: Simplify right side
    55,707.81x = 2,891,727,698.49
  5. Step 5: Solve for x
    x = 2,891,727,698.49/55,707.81
  6. Step 6: Final answer
    x = 51,908.84

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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.