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Finding the Fourth Proportional to 55,686.63, 83,509.14 and 22,395.45

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Solution

The fourth proportional to 55,686.63, 83,509.14 and 22,395.45 is: 33,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,686.63 : 83,509.14 = 22,395.45 : x
  2. Step 2: Convert to fraction form
    55,686.63/83,509.14 = 22,395.45/x
  3. Step 3: Cross multiply
    55,686.63x = 83,509.14 × 22,395.45
  4. Step 4: Simplify right side
    55,686.63x = 1,870,224,769.41
  5. Step 5: Solve for x
    x = 1,870,224,769.41/55,686.63
  6. Step 6: Final answer
    x = 33,584.81

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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.