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Finding the Fourth Proportional to 50,298, 75,458.67 and 14,757.89

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Solution

The fourth proportional to 50,298, 75,458.67 and 14,757.89 is: 22,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298 : 75,458.67 = 14,757.89 : x
  2. Step 2: Convert to fraction form
    50,298/75,458.67 = 14,757.89/x
  3. Step 3: Cross multiply
    50,298x = 75,458.67 × 14,757.89
  4. Step 4: Simplify right side
    50,298x = 1,113,610,374.11
  5. Step 5: Solve for x
    x = 1,113,610,374.11/50,298
  6. Step 6: Final answer
    x = 22,140.25

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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.