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Finding the Fourth Proportional to 35,809.14, 53,709.48 and 9,515.90

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Solution

The fourth proportional to 35,809.14, 53,709.48 and 9,515.90 is: 14,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.14 : 53,709.48 = 9,515.90 : x
  2. Step 2: Convert to fraction form
    35,809.14/53,709.48 = 9,515.90/x
  3. Step 3: Cross multiply
    35,809.14x = 53,709.48 × 9,515.90
  4. Step 4: Simplify right side
    35,809.14x = 511,094,040.73
  5. Step 5: Solve for x
    x = 511,094,040.73/35,809.14
  6. Step 6: Final answer
    x = 14,272.73

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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.