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Finding the Fourth Proportional to 29,953.52, 44,930.06 and 7,766.84

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Solution

The fourth proportional to 29,953.52, 44,930.06 and 7,766.84 is: 11,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953.52 : 44,930.06 = 7,766.84 : x
  2. Step 2: Convert to fraction form
    29,953.52/44,930.06 = 7,766.84/x
  3. Step 3: Cross multiply
    29,953.52x = 44,930.06 × 7,766.84
  4. Step 4: Simplify right side
    29,953.52x = 348,964,587.21
  5. Step 5: Solve for x
    x = 348,964,587.21/29,953.52
  6. Step 6: Final answer
    x = 11,650.20

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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.