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Finding the Fourth Proportional to 123,960.56, 185,831.79 and 49,133.23

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Solution

The fourth proportional to 123,960.56, 185,831.79 and 49,133.23 is: 73,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,960.56 : 185,831.79 = 49,133.23 : x
  2. Step 2: Convert to fraction form
    123,960.56/185,831.79 = 49,133.23/x
  3. Step 3: Cross multiply
    123,960.56x = 185,831.79 × 49,133.23
  4. Step 4: Simplify right side
    123,960.56x = 9,130,515,430.55
  5. Step 5: Solve for x
    x = 9,130,515,430.55/123,960.56
  6. Step 6: Final answer
    x = 73,656.62

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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.