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Finding the Fourth Proportional to 61,769.36, 92,653.12 and 19,652

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Solution

The fourth proportional to 61,769.36, 92,653.12 and 19,652 is: 29,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,769.36 : 92,653.12 = 19,652 : x
  2. Step 2: Convert to fraction form
    61,769.36/92,653.12 = 19,652/x
  3. Step 3: Cross multiply
    61,769.36x = 92,653.12 × 19,652
  4. Step 4: Simplify right side
    61,769.36x = 1,820,819,114.24
  5. Step 5: Solve for x
    x = 1,820,819,114.24/61,769.36
  6. Step 6: Final answer
    x = 29,477.71

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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.