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Finding the Fourth Proportional to 35,789.16, 53,686.44 and 9,493.14

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Solution

The fourth proportional to 35,789.16, 53,686.44 and 9,493.14 is: 14,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,789.16 : 53,686.44 = 9,493.14 : x
  2. Step 2: Convert to fraction form
    35,789.16/53,686.44 = 9,493.14/x
  3. Step 3: Cross multiply
    35,789.16x = 53,686.44 × 9,493.14
  4. Step 4: Simplify right side
    35,789.16x = 509,652,891.02
  5. Step 5: Solve for x
    x = 509,652,891.02/35,789.16
  6. Step 6: Final answer
    x = 14,240.43

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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.