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Finding the Fourth Proportional to 35,081.91, 52,621.16 and 12,893.58

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Solution

The fourth proportional to 35,081.91, 52,621.16 and 12,893.58 is: 19,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,081.91 : 52,621.16 = 12,893.58 : x
  2. Step 2: Convert to fraction form
    35,081.91/52,621.16 = 12,893.58/x
  3. Step 3: Cross multiply
    35,081.91x = 52,621.16 × 12,893.58
  4. Step 4: Simplify right side
    35,081.91x = 678,475,071.68
  5. Step 5: Solve for x
    x = 678,475,071.68/35,081.91
  6. Step 6: Final answer
    x = 19,339.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.