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Finding the Fourth Proportional to 53,686.80, 74,084.63 and 29,812.05

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Solution

The fourth proportional to 53,686.80, 74,084.63 and 29,812.05 is: 41,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.80 : 74,084.63 = 29,812.05 : x
  2. Step 2: Convert to fraction form
    53,686.80/74,084.63 = 29,812.05/x
  3. Step 3: Cross multiply
    53,686.80x = 74,084.63 × 29,812.05
  4. Step 4: Simplify right side
    53,686.80x = 2,208,614,544.73
  5. Step 5: Solve for x
    x = 2,208,614,544.73/53,686.80
  6. Step 6: Final answer
    x = 41,138.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.