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Finding the Fourth Proportional to 27,594.54, 41,391 and 8,875.44

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Solution

The fourth proportional to 27,594.54, 41,391 and 8,875.44 is: 13,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.54 : 41,391 = 8,875.44 : x
  2. Step 2: Convert to fraction form
    27,594.54/41,391 = 8,875.44/x
  3. Step 3: Cross multiply
    27,594.54x = 41,391 × 8,875.44
  4. Step 4: Simplify right side
    27,594.54x = 367,363,337.04
  5. Step 5: Solve for x
    x = 367,363,337.04/27,594.54
  6. Step 6: Final answer
    x = 13,312.90

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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.