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Finding the Fourth Proportional to 27,358.95, 37,755.38 and 14,783.70

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Solution

The fourth proportional to 27,358.95, 37,755.38 and 14,783.70 is: 20,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358.95 : 37,755.38 = 14,783.70 : x
  2. Step 2: Convert to fraction form
    27,358.95/37,755.38 = 14,783.70/x
  3. Step 3: Cross multiply
    27,358.95x = 37,755.38 × 14,783.70
  4. Step 4: Simplify right side
    27,358.95x = 558,164,211.31
  5. Step 5: Solve for x
    x = 558,164,211.31/27,358.95
  6. Step 6: Final answer
    x = 20,401.52

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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.