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Finding the Fourth Proportional to 77,457, 116,138.63 and 34,754.60

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Solution

The fourth proportional to 77,457, 116,138.63 and 34,754.60 is: 52,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457 : 116,138.63 = 34,754.60 : x
  2. Step 2: Convert to fraction form
    77,457/116,138.63 = 34,754.60/x
  3. Step 3: Cross multiply
    77,457x = 116,138.63 × 34,754.60
  4. Step 4: Simplify right side
    77,457x = 4,036,351,630.20
  5. Step 5: Solve for x
    x = 4,036,351,630.20/77,457
  6. Step 6: Final answer
    x = 52,110.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.