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Finding the Fourth Proportional to 55,871.81, 83,807.50 and 22,591.47

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Solution

The fourth proportional to 55,871.81, 83,807.50 and 22,591.47 is: 33,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.81 : 83,807.50 = 22,591.47 : x
  2. Step 2: Convert to fraction form
    55,871.81/83,807.50 = 22,591.47/x
  3. Step 3: Cross multiply
    55,871.81x = 83,807.50 × 22,591.47
  4. Step 4: Simplify right side
    55,871.81x = 1,893,334,622.03
  5. Step 5: Solve for x
    x = 1,893,334,622.03/55,871.81
  6. Step 6: Final answer
    x = 33,887.12

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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.