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Finding the Fourth Proportional to 34,402, 47,474.44 and 19,498

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Solution

The fourth proportional to 34,402, 47,474.44 and 19,498 is: 26,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402 : 47,474.44 = 19,498 : x
  2. Step 2: Convert to fraction form
    34,402/47,474.44 = 19,498/x
  3. Step 3: Cross multiply
    34,402x = 47,474.44 × 19,498
  4. Step 4: Simplify right side
    34,402x = 925,656,631.12
  5. Step 5: Solve for x
    x = 925,656,631.12/34,402
  6. Step 6: Final answer
    x = 26,907.06

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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.