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Finding the Fourth Proportional to 61,514.62, 92,239.12 and 31,858.90

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Solution

The fourth proportional to 61,514.62, 92,239.12 and 31,858.90 is: 47,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,514.62 : 92,239.12 = 31,858.90 : x
  2. Step 2: Convert to fraction form
    61,514.62/92,239.12 = 31,858.90/x
  3. Step 3: Cross multiply
    61,514.62x = 92,239.12 × 31,858.90
  4. Step 4: Simplify right side
    61,514.62x = 2,938,636,900.17
  5. Step 5: Solve for x
    x = 2,938,636,900.17/61,514.62
  6. Step 6: Final answer
    x = 47,771.36

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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.