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Finding the Fourth Proportional to 77,342.63, 116,035.73 and 29,972.03

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Solution

The fourth proportional to 77,342.63, 116,035.73 and 29,972.03 is: 44,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342.63 : 116,035.73 = 29,972.03 : x
  2. Step 2: Convert to fraction form
    77,342.63/116,035.73 = 29,972.03/x
  3. Step 3: Cross multiply
    77,342.63x = 116,035.73 × 29,972.03
  4. Step 4: Simplify right side
    77,342.63x = 3,477,826,230.77
  5. Step 5: Solve for x
    x = 3,477,826,230.77/77,342.63
  6. Step 6: Final answer
    x = 44,966.49

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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.