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Finding the Fourth Proportional to 34,603.40, 47,744.02 and 19,493

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Solution

The fourth proportional to 34,603.40, 47,744.02 and 19,493 is: 26,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.40 : 47,744.02 = 19,493 : x
  2. Step 2: Convert to fraction form
    34,603.40/47,744.02 = 19,493/x
  3. Step 3: Cross multiply
    34,603.40x = 47,744.02 × 19,493
  4. Step 4: Simplify right side
    34,603.40x = 930,674,181.86
  5. Step 5: Solve for x
    x = 930,674,181.86/34,603.40
  6. Step 6: Final answer
    x = 26,895.45

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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.