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Finding the Fourth Proportional to 27,558.50, 38,031 and 14,983.52

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Solution

The fourth proportional to 27,558.50, 38,031 and 14,983.52 is: 20,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,558.50 : 38,031 = 14,983.52 : x
  2. Step 2: Convert to fraction form
    27,558.50/38,031 = 14,983.52/x
  3. Step 3: Cross multiply
    27,558.50x = 38,031 × 14,983.52
  4. Step 4: Simplify right side
    27,558.50x = 569,838,249.12
  5. Step 5: Solve for x
    x = 569,838,249.12/27,558.50
  6. Step 6: Final answer
    x = 20,677.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.