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Finding the Fourth Proportional to 85,897.82, 118,592.16 and 57,257.84

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Solution

The fourth proportional to 85,897.82, 118,592.16 and 57,257.84 is: 79,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,897.82 : 118,592.16 = 57,257.84 : x
  2. Step 2: Convert to fraction form
    85,897.82/118,592.16 = 57,257.84/x
  3. Step 3: Cross multiply
    85,897.82x = 118,592.16 × 57,257.84
  4. Step 4: Simplify right side
    85,897.82x = 6,790,330,922.53
  5. Step 5: Solve for x
    x = 6,790,330,922.53/85,897.82
  6. Step 6: Final answer
    x = 79,051.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.