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Finding the Fourth Proportional to 35,855.66, 53,786.34 and 10,897.89

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Solution

The fourth proportional to 35,855.66, 53,786.34 and 10,897.89 is: 16,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,855.66 : 53,786.34 = 10,897.89 : x
  2. Step 2: Convert to fraction form
    35,855.66/53,786.34 = 10,897.89/x
  3. Step 3: Cross multiply
    35,855.66x = 53,786.34 × 10,897.89
  4. Step 4: Simplify right side
    35,855.66x = 586,157,616.82
  5. Step 5: Solve for x
    x = 586,157,616.82/35,855.66
  6. Step 6: Final answer
    x = 16,347.70

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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.