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Finding the Fourth Proportional to 53,684.57, 74,087.17 and 29,811.34

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Solution

The fourth proportional to 53,684.57, 74,087.17 and 29,811.34 is: 41,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.57 : 74,087.17 = 29,811.34 : x
  2. Step 2: Convert to fraction form
    53,684.57/74,087.17 = 29,811.34/x
  3. Step 3: Cross multiply
    53,684.57x = 74,087.17 × 29,811.34
  4. Step 4: Simplify right side
    53,684.57x = 2,208,637,703.82
  5. Step 5: Solve for x
    x = 2,208,637,703.82/53,684.57
  6. Step 6: Final answer
    x = 41,141.02

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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.