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Finding the Fourth Proportional to 35,767.08, 53,650.62 and 11,145

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Solution

The fourth proportional to 35,767.08, 53,650.62 and 11,145 is: 16,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,767.08 : 53,650.62 = 11,145 : x
  2. Step 2: Convert to fraction form
    35,767.08/53,650.62 = 11,145/x
  3. Step 3: Cross multiply
    35,767.08x = 53,650.62 × 11,145
  4. Step 4: Simplify right side
    35,767.08x = 597,936,159.90
  5. Step 5: Solve for x
    x = 597,936,159.90/35,767.08
  6. Step 6: Final answer
    x = 16,717.50

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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.