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Finding the Fourth Proportional to 35,764.91, 53,647.11 and 8,746.91

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Solution

The fourth proportional to 35,764.91, 53,647.11 and 8,746.91 is: 13,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.91 : 53,647.11 = 8,746.91 : x
  2. Step 2: Convert to fraction form
    35,764.91/53,647.11 = 8,746.91/x
  3. Step 3: Cross multiply
    35,764.91x = 53,647.11 × 8,746.91
  4. Step 4: Simplify right side
    35,764.91x = 469,246,442.93
  5. Step 5: Solve for x
    x = 469,246,442.93/35,764.91
  6. Step 6: Final answer
    x = 13,120.30

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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.