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Finding the Fourth Proportional to 100,522.63, 150,554.29 and 47,969.02

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Solution

The fourth proportional to 100,522.63, 150,554.29 and 47,969.02 is: 71,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.63 : 150,554.29 = 47,969.02 : x
  2. Step 2: Convert to fraction form
    100,522.63/150,554.29 = 47,969.02/x
  3. Step 3: Cross multiply
    100,522.63x = 150,554.29 × 47,969.02
  4. Step 4: Simplify right side
    100,522.63x = 7,221,941,748.10
  5. Step 5: Solve for x
    x = 7,221,941,748.10/100,522.63
  6. Step 6: Final answer
    x = 71,843.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.