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Finding the Fourth Proportional to 37,751.32, 52,089.16 and 21,829.96

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Solution

The fourth proportional to 37,751.32, 52,089.16 and 21,829.96 is: 30,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751.32 : 52,089.16 = 21,829.96 : x
  2. Step 2: Convert to fraction form
    37,751.32/52,089.16 = 21,829.96/x
  3. Step 3: Cross multiply
    37,751.32x = 52,089.16 × 21,829.96
  4. Step 4: Simplify right side
    37,751.32x = 1,137,104,279.23
  5. Step 5: Solve for x
    x = 1,137,104,279.23/37,751.32
  6. Step 6: Final answer
    x = 30,120.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.