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Finding the Fourth Proportional to 50,230, 75,346.44 and 13,294

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Solution

The fourth proportional to 50,230, 75,346.44 and 13,294 is: 19,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,230 : 75,346.44 = 13,294 : x
  2. Step 2: Convert to fraction form
    50,230/75,346.44 = 13,294/x
  3. Step 3: Cross multiply
    50,230x = 75,346.44 × 13,294
  4. Step 4: Simplify right side
    50,230x = 1,001,655,573.36
  5. Step 5: Solve for x
    x = 1,001,655,573.36/50,230
  6. Step 6: Final answer
    x = 19,941.38

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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.