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Finding the Fourth Proportional to 41,820.21, 57,712.32 and 22,700.16

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Solution

The fourth proportional to 41,820.21, 57,712.32 and 22,700.16 is: 31,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820.21 : 57,712.32 = 22,700.16 : x
  2. Step 2: Convert to fraction form
    41,820.21/57,712.32 = 22,700.16/x
  3. Step 3: Cross multiply
    41,820.21x = 57,712.32 × 22,700.16
  4. Step 4: Simplify right side
    41,820.21x = 1,310,078,897.97
  5. Step 5: Solve for x
    x = 1,310,078,897.97/41,820.21
  6. Step 6: Final answer
    x = 31,326.45

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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.