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Finding the Fourth Proportional to 50,402.88, 75,598.56 and 13,464

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Solution

The fourth proportional to 50,402.88, 75,598.56 and 13,464 is: 20,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,402.88 : 75,598.56 = 13,464 : x
  2. Step 2: Convert to fraction form
    50,402.88/75,598.56 = 13,464/x
  3. Step 3: Cross multiply
    50,402.88x = 75,598.56 × 13,464
  4. Step 4: Simplify right side
    50,402.88x = 1,017,859,011.84
  5. Step 5: Solve for x
    x = 1,017,859,011.84/50,402.88
  6. Step 6: Final answer
    x = 20,194.46

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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.