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Finding the Fourth Proportional to 37,801.42, 52,168.10 and 21,671.40

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Solution

The fourth proportional to 37,801.42, 52,168.10 and 21,671.40 is: 29,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801.42 : 52,168.10 = 21,671.40 : x
  2. Step 2: Convert to fraction form
    37,801.42/52,168.10 = 21,671.40/x
  3. Step 3: Cross multiply
    37,801.42x = 52,168.10 × 21,671.40
  4. Step 4: Simplify right side
    37,801.42x = 1,130,555,762.34
  5. Step 5: Solve for x
    x = 1,130,555,762.34/37,801.42
  6. Step 6: Final answer
    x = 29,907.76

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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.