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Finding the Fourth Proportional to 66,513.82, 99,768.29 and 19,765.48

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Solution

The fourth proportional to 66,513.82, 99,768.29 and 19,765.48 is: 29,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513.82 : 99,768.29 = 19,765.48 : x
  2. Step 2: Convert to fraction form
    66,513.82/99,768.29 = 19,765.48/x
  3. Step 3: Cross multiply
    66,513.82x = 99,768.29 × 19,765.48
  4. Step 4: Simplify right side
    66,513.82x = 1,971,968,140.63
  5. Step 5: Solve for x
    x = 1,971,968,140.63/66,513.82
  6. Step 6: Final answer
    x = 29,647.49

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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.