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Finding the Fourth Proportional to 53,684.53, 74,084.24 and 29,811.29

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Solution

The fourth proportional to 53,684.53, 74,084.24 and 29,811.29 is: 41,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.53 : 74,084.24 = 29,811.29 : x
  2. Step 2: Convert to fraction form
    53,684.53/74,084.24 = 29,811.29/x
  3. Step 3: Cross multiply
    53,684.53x = 74,084.24 × 29,811.29
  4. Step 4: Simplify right side
    53,684.53x = 2,208,546,467.18
  5. Step 5: Solve for x
    x = 2,208,546,467.18/53,684.53
  6. Step 6: Final answer
    x = 41,139.35

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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.