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Finding the Fourth Proportional to 55,897.74, 83,848.05 and 16,456.14

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Solution

The fourth proportional to 55,897.74, 83,848.05 and 16,456.14 is: 24,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,897.74 : 83,848.05 = 16,456.14 : x
  2. Step 2: Convert to fraction form
    55,897.74/83,848.05 = 16,456.14/x
  3. Step 3: Cross multiply
    55,897.74x = 83,848.05 × 16,456.14
  4. Step 4: Simplify right side
    55,897.74x = 1,379,815,249.53
  5. Step 5: Solve for x
    x = 1,379,815,249.53/55,897.74
  6. Step 6: Final answer
    x = 24,684.63

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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.