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Finding the Fourth Proportional to 53,146.21, 73,339 and 33,002.66

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Solution

The fourth proportional to 53,146.21, 73,339 and 33,002.66 is: 45,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146.21 : 73,339 = 33,002.66 : x
  2. Step 2: Convert to fraction form
    53,146.21/73,339 = 33,002.66/x
  3. Step 3: Cross multiply
    53,146.21x = 73,339 × 33,002.66
  4. Step 4: Simplify right side
    53,146.21x = 2,420,382,081.74
  5. Step 5: Solve for x
    x = 2,420,382,081.74/53,146.21
  6. Step 6: Final answer
    x = 45,541.95

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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.