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Finding the Fourth Proportional to 61,414.96, 84,762.96 and 35,569.72

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Solution

The fourth proportional to 61,414.96, 84,762.96 and 35,569.72 is: 49,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414.96 : 84,762.96 = 35,569.72 : x
  2. Step 2: Convert to fraction form
    61,414.96/84,762.96 = 35,569.72/x
  3. Step 3: Cross multiply
    61,414.96x = 84,762.96 × 35,569.72
  4. Step 4: Simplify right side
    61,414.96x = 3,014,994,753.57
  5. Step 5: Solve for x
    x = 3,014,994,753.57/61,414.96
  6. Step 6: Final answer
    x = 49,092.19

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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.