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Finding the Fourth Proportional to 57,853.48, 86,783.58 and 16,297

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Solution

The fourth proportional to 57,853.48, 86,783.58 and 16,297 is: 24,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.48 : 86,783.58 = 16,297 : x
  2. Step 2: Convert to fraction form
    57,853.48/86,783.58 = 16,297/x
  3. Step 3: Cross multiply
    57,853.48x = 86,783.58 × 16,297
  4. Step 4: Simplify right side
    57,853.48x = 1,414,312,003.26
  5. Step 5: Solve for x
    x = 1,414,312,003.26/57,853.48
  6. Step 6: Final answer
    x = 24,446.45

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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.