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Finding the Fourth Proportional to 55,824.50, 83,714.88 and 22,538.36

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Solution

The fourth proportional to 55,824.50, 83,714.88 and 22,538.36 is: 33,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,824.50 : 83,714.88 = 22,538.36 : x
  2. Step 2: Convert to fraction form
    55,824.50/83,714.88 = 22,538.36/x
  3. Step 3: Cross multiply
    55,824.50x = 83,714.88 × 22,538.36
  4. Step 4: Simplify right side
    55,824.50x = 1,886,796,102.80
  5. Step 5: Solve for x
    x = 1,886,796,102.80/55,824.50
  6. Step 6: Final answer
    x = 33,798.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.