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Finding the Fourth Proportional to 34,407, 47,482.38 and 19,503

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Solution

The fourth proportional to 34,407, 47,482.38 and 19,503 is: 26,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407 : 47,482.38 = 19,503 : x
  2. Step 2: Convert to fraction form
    34,407/47,482.38 = 19,503/x
  3. Step 3: Cross multiply
    34,407x = 47,482.38 × 19,503
  4. Step 4: Simplify right side
    34,407x = 926,048,857.14
  5. Step 5: Solve for x
    x = 926,048,857.14/34,407
  6. Step 6: Final answer
    x = 26,914.55

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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.