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Finding the Fourth Proportional to 128,414.60, 192,642.42 and 39,647.24

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Solution

The fourth proportional to 128,414.60, 192,642.42 and 39,647.24 is: 59,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.60 : 192,642.42 = 39,647.24 : x
  2. Step 2: Convert to fraction form
    128,414.60/192,642.42 = 39,647.24/x
  3. Step 3: Cross multiply
    128,414.60x = 192,642.42 × 39,647.24
  4. Step 4: Simplify right side
    128,414.60x = 7,637,740,259.92
  5. Step 5: Solve for x
    x = 7,637,740,259.92/128,414.60
  6. Step 6: Final answer
    x = 59,477.20

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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.