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Finding the Fourth Proportional to 53,684.28, 74,086.16 and 29,811.35

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Solution

The fourth proportional to 53,684.28, 74,086.16 and 29,811.35 is: 41,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.28 : 74,086.16 = 29,811.35 : x
  2. Step 2: Convert to fraction form
    53,684.28/74,086.16 = 29,811.35/x
  3. Step 3: Cross multiply
    53,684.28x = 74,086.16 × 29,811.35
  4. Step 4: Simplify right side
    53,684.28x = 2,208,608,445.92
  5. Step 5: Solve for x
    x = 2,208,608,445.92/53,684.28
  6. Step 6: Final answer
    x = 41,140.69

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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.