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Finding the Fourth Proportional to 27,594.64, 41,398.08 and 10,064.44

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Solution

The fourth proportional to 27,594.64, 41,398.08 and 10,064.44 is: 15,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.64 : 41,398.08 = 10,064.44 : x
  2. Step 2: Convert to fraction form
    27,594.64/41,398.08 = 10,064.44/x
  3. Step 3: Cross multiply
    27,594.64x = 41,398.08 × 10,064.44
  4. Step 4: Simplify right side
    27,594.64x = 416,648,492.28
  5. Step 5: Solve for x
    x = 416,648,492.28/27,594.64
  6. Step 6: Final answer
    x = 15,098.89

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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.