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Finding the Fourth Proportional to 35,704.74, 49,294.94 and 22,980.02

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Solution

The fourth proportional to 35,704.74, 49,294.94 and 22,980.02 is: 31,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.74 : 49,294.94 = 22,980.02 : x
  2. Step 2: Convert to fraction form
    35,704.74/49,294.94 = 22,980.02/x
  3. Step 3: Cross multiply
    35,704.74x = 49,294.94 × 22,980.02
  4. Step 4: Simplify right side
    35,704.74x = 1,132,798,715.44
  5. Step 5: Solve for x
    x = 1,132,798,715.44/35,704.74
  6. Step 6: Final answer
    x = 31,726.84

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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.