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Finding the Fourth Proportional to 27,064.84, 40,600.54 and 9,531.08

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Solution

The fourth proportional to 27,064.84, 40,600.54 and 9,531.08 is: 14,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.84 : 40,600.54 = 9,531.08 : x
  2. Step 2: Convert to fraction form
    27,064.84/40,600.54 = 9,531.08/x
  3. Step 3: Cross multiply
    27,064.84x = 40,600.54 × 9,531.08
  4. Step 4: Simplify right side
    27,064.84x = 386,966,994.78
  5. Step 5: Solve for x
    x = 386,966,994.78/27,064.84
  6. Step 6: Final answer
    x = 14,297.78

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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.