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Finding the Fourth Proportional to 55,386.50, 83,114.31 and 22,554.50

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Solution

The fourth proportional to 55,386.50, 83,114.31 and 22,554.50 is: 33,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386.50 : 83,114.31 = 22,554.50 : x
  2. Step 2: Convert to fraction form
    55,386.50/83,114.31 = 22,554.50/x
  3. Step 3: Cross multiply
    55,386.50x = 83,114.31 × 22,554.50
  4. Step 4: Simplify right side
    55,386.50x = 1,874,601,704.90
  5. Step 5: Solve for x
    x = 1,874,601,704.90/55,386.50
  6. Step 6: Final answer
    x = 33,845.82

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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.