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Finding the Fourth Proportional to 34,214.96, 47,214.84 and 19,310

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Solution

The fourth proportional to 34,214.96, 47,214.84 and 19,310 is: 26,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.96 : 47,214.84 = 19,310 : x
  2. Step 2: Convert to fraction form
    34,214.96/47,214.84 = 19,310/x
  3. Step 3: Cross multiply
    34,214.96x = 47,214.84 × 19,310
  4. Step 4: Simplify right side
    34,214.96x = 911,718,560.40
  5. Step 5: Solve for x
    x = 911,718,560.40/34,214.96
  6. Step 6: Final answer
    x = 26,646.78

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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.