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Finding the Fourth Proportional to 61,866.96, 92,755 and 19,722.84

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Solution

The fourth proportional to 61,866.96, 92,755 and 19,722.84 is: 29,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,866.96 : 92,755 = 19,722.84 : x
  2. Step 2: Convert to fraction form
    61,866.96/92,755 = 19,722.84/x
  3. Step 3: Cross multiply
    61,866.96x = 92,755 × 19,722.84
  4. Step 4: Simplify right side
    61,866.96x = 1,829,392,024.20
  5. Step 5: Solve for x
    x = 1,829,392,024.20/61,866.96
  6. Step 6: Final answer
    x = 29,569.77

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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.