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Finding the Fourth Proportional to 128,324, 192,503.76 and 39,584.48

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Solution

The fourth proportional to 128,324, 192,503.76 and 39,584.48 is: 59,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,324 : 192,503.76 = 39,584.48 : x
  2. Step 2: Convert to fraction form
    128,324/192,503.76 = 39,584.48/x
  3. Step 3: Cross multiply
    128,324x = 192,503.76 × 39,584.48
  4. Step 4: Simplify right side
    128,324x = 7,620,161,237.64
  5. Step 5: Solve for x
    x = 7,620,161,237.64/128,324
  6. Step 6: Final answer
    x = 59,382.20

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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.