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Finding the Fourth Proportional to 37,590.30, 51,880.14 and 21,671.64

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Solution

The fourth proportional to 37,590.30, 51,880.14 and 21,671.64 is: 29,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,590.30 : 51,880.14 = 21,671.64 : x
  2. Step 2: Convert to fraction form
    37,590.30/51,880.14 = 21,671.64/x
  3. Step 3: Cross multiply
    37,590.30x = 51,880.14 × 21,671.64
  4. Step 4: Simplify right side
    37,590.30x = 1,124,327,717.23
  5. Step 5: Solve for x
    x = 1,124,327,717.23/37,590.30
  6. Step 6: Final answer
    x = 29,910.05

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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.