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Finding the Fourth Proportional to 77,451.49, 116,130.39 and 34,749.10

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Solution

The fourth proportional to 77,451.49, 116,130.39 and 34,749.10 is: 52,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451.49 : 116,130.39 = 34,749.10 : x
  2. Step 2: Convert to fraction form
    77,451.49/116,130.39 = 34,749.10/x
  3. Step 3: Cross multiply
    77,451.49x = 116,130.39 × 34,749.10
  4. Step 4: Simplify right side
    77,451.49x = 4,035,426,535.15
  5. Step 5: Solve for x
    x = 4,035,426,535.15/77,451.49
  6. Step 6: Final answer
    x = 52,102.63

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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.