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Finding the Fourth Proportional to 27,087.45, 40,646.70 and 14,607.42

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Solution

The fourth proportional to 27,087.45, 40,646.70 and 14,607.42 is: 21,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087.45 : 40,646.70 = 14,607.42 : x
  2. Step 2: Convert to fraction form
    27,087.45/40,646.70 = 14,607.42/x
  3. Step 3: Cross multiply
    27,087.45x = 40,646.70 × 14,607.42
  4. Step 4: Simplify right side
    27,087.45x = 593,743,418.51
  5. Step 5: Solve for x
    x = 593,743,418.51/27,087.45
  6. Step 6: Final answer
    x = 21,919.50

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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.