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Finding the Fourth Proportional to 61,892.78, 92,852.50 and 19,762.96

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Solution

The fourth proportional to 61,892.78, 92,852.50 and 19,762.96 is: 29,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892.78 : 92,852.50 = 19,762.96 : x
  2. Step 2: Convert to fraction form
    61,892.78/92,852.50 = 19,762.96/x
  3. Step 3: Cross multiply
    61,892.78x = 92,852.50 × 19,762.96
  4. Step 4: Simplify right side
    61,892.78x = 1,835,040,489.75
  5. Step 5: Solve for x
    x = 1,835,040,489.75/61,892.78
  6. Step 6: Final answer
    x = 29,648.70

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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.