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Finding the Fourth Proportional to 34,509.96, 51,765 and 14,787

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Solution

The fourth proportional to 34,509.96, 51,765 and 14,787 is: 22,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.96 : 51,765 = 14,787 : x
  2. Step 2: Convert to fraction form
    34,509.96/51,765 = 14,787/x
  3. Step 3: Cross multiply
    34,509.96x = 51,765 × 14,787
  4. Step 4: Simplify right side
    34,509.96x = 765,449,055
  5. Step 5: Solve for x
    x = 765,449,055/34,509.96
  6. Step 6: Final answer
    x = 22,180.53

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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.