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Finding the Fourth Proportional to 61,193.59, 91,792.64 and 16,823.81

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Solution

The fourth proportional to 61,193.59, 91,792.64 and 16,823.81 is: 25,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193.59 : 91,792.64 = 16,823.81 : x
  2. Step 2: Convert to fraction form
    61,193.59/91,792.64 = 16,823.81/x
  3. Step 3: Cross multiply
    61,193.59x = 91,792.64 × 16,823.81
  4. Step 4: Simplify right side
    61,193.59x = 1,544,302,206.30
  5. Step 5: Solve for x
    x = 1,544,302,206.30/61,193.59
  6. Step 6: Final answer
    x = 25,236.34

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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.