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Finding the Fourth Proportional to 34,353, 47,407.14 and 19,449

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Solution

The fourth proportional to 34,353, 47,407.14 and 19,449 is: 26,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,353 : 47,407.14 = 19,449 : x
  2. Step 2: Convert to fraction form
    34,353/47,407.14 = 19,449/x
  3. Step 3: Cross multiply
    34,353x = 47,407.14 × 19,449
  4. Step 4: Simplify right side
    34,353x = 922,021,465.86
  5. Step 5: Solve for x
    x = 922,021,465.86/34,353
  6. Step 6: Final answer
    x = 26,839.62

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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.