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Finding the Fourth Proportional to 35,897.78, 53,846.88 and 12,524.22

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Solution

The fourth proportional to 35,897.78, 53,846.88 and 12,524.22 is: 18,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.78 : 53,846.88 = 12,524.22 : x
  2. Step 2: Convert to fraction form
    35,897.78/53,846.88 = 12,524.22/x
  3. Step 3: Cross multiply
    35,897.78x = 53,846.88 × 12,524.22
  4. Step 4: Simplify right side
    35,897.78x = 674,390,124.47
  5. Step 5: Solve for x
    x = 674,390,124.47/35,897.78
  6. Step 6: Final answer
    x = 18,786.40

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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.