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Finding the Fourth Proportional to 57,051.84, 85,588.48 and 25,889.28

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Solution

The fourth proportional to 57,051.84, 85,588.48 and 25,889.28 is: 38,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051.84 : 85,588.48 = 25,889.28 : x
  2. Step 2: Convert to fraction form
    57,051.84/85,588.48 = 25,889.28/x
  3. Step 3: Cross multiply
    57,051.84x = 85,588.48 × 25,889.28
  4. Step 4: Simplify right side
    57,051.84x = 2,215,824,123.49
  5. Step 5: Solve for x
    x = 2,215,824,123.49/57,051.84
  6. Step 6: Final answer
    x = 38,838.78

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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.