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Finding the Fourth Proportional to 34,178.88, 47,164.32 and 19,272

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Solution

The fourth proportional to 34,178.88, 47,164.32 and 19,272 is: 26,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.88 : 47,164.32 = 19,272 : x
  2. Step 2: Convert to fraction form
    34,178.88/47,164.32 = 19,272/x
  3. Step 3: Cross multiply
    34,178.88x = 47,164.32 × 19,272
  4. Step 4: Simplify right side
    34,178.88x = 908,950,775.04
  5. Step 5: Solve for x
    x = 908,950,775.04/34,178.88
  6. Step 6: Final answer
    x = 26,593.93

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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.