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Finding the Fourth Proportional to 64,982, 89,675.43 and 35,174

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Solution

The fourth proportional to 64,982, 89,675.43 and 35,174 is: 48,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 89,675.43 = 35,174 : x
  2. Step 2: Convert to fraction form
    64,982/89,675.43 = 35,174/x
  3. Step 3: Cross multiply
    64,982x = 89,675.43 × 35,174
  4. Step 4: Simplify right side
    64,982x = 3,154,243,574.82
  5. Step 5: Solve for x
    x = 3,154,243,574.82/64,982
  6. Step 6: Final answer
    x = 48,540.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.