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Finding the Fourth Proportional to 50,467.55, 75,713.13 and 15,407.19

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Solution

The fourth proportional to 50,467.55, 75,713.13 and 15,407.19 is: 23,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467.55 : 75,713.13 = 15,407.19 : x
  2. Step 2: Convert to fraction form
    50,467.55/75,713.13 = 15,407.19/x
  3. Step 3: Cross multiply
    50,467.55x = 75,713.13 × 15,407.19
  4. Step 4: Simplify right side
    50,467.55x = 1,166,526,579.40
  5. Step 5: Solve for x
    x = 1,166,526,579.40/50,467.55
  6. Step 6: Final answer
    x = 23,114.39

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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.