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Finding the Fourth Proportional to 77,824.60, 116,718.42 and 35,678.44

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Solution

The fourth proportional to 77,824.60, 116,718.42 and 35,678.44 is: 53,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,824.60 : 116,718.42 = 35,678.44 : x
  2. Step 2: Convert to fraction form
    77,824.60/116,718.42 = 35,678.44/x
  3. Step 3: Cross multiply
    77,824.60x = 116,718.42 × 35,678.44
  4. Step 4: Simplify right side
    77,824.60x = 4,164,331,144.86
  5. Step 5: Solve for x
    x = 4,164,331,144.86/77,824.60
  6. Step 6: Final answer
    x = 53,509.19

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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.