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Finding the Fourth Proportional to 27,208, 40,810.08 and 13,352

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Solution

The fourth proportional to 27,208, 40,810.08 and 13,352 is: 20,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208 : 40,810.08 = 13,352 : x
  2. Step 2: Convert to fraction form
    27,208/40,810.08 = 13,352/x
  3. Step 3: Cross multiply
    27,208x = 40,810.08 × 13,352
  4. Step 4: Simplify right side
    27,208x = 544,896,188.16
  5. Step 5: Solve for x
    x = 544,896,188.16/27,208
  6. Step 6: Final answer
    x = 20,027.06

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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.