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Finding the Fourth Proportional to 34,166, 47,149.09 and 19,262

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Solution

The fourth proportional to 34,166, 47,149.09 and 19,262 is: 26,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166 : 47,149.09 = 19,262 : x
  2. Step 2: Convert to fraction form
    34,166/47,149.09 = 19,262/x
  3. Step 3: Cross multiply
    34,166x = 47,149.09 × 19,262
  4. Step 4: Simplify right side
    34,166x = 908,185,771.58
  5. Step 5: Solve for x
    x = 908,185,771.58/34,166
  6. Step 6: Final answer
    x = 26,581.57

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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.