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Finding the Fourth Proportional to 117,965, 162,791.70 and 64,973

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Solution

The fourth proportional to 117,965, 162,791.70 and 64,973 is: 89,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,965 : 162,791.70 = 64,973 : x
  2. Step 2: Convert to fraction form
    117,965/162,791.70 = 64,973/x
  3. Step 3: Cross multiply
    117,965x = 162,791.70 × 64,973
  4. Step 4: Simplify right side
    117,965x = 10,577,065,124.10
  5. Step 5: Solve for x
    x = 10,577,065,124.10/117,965
  6. Step 6: Final answer
    x = 89,662.74

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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.