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Finding the Fourth Proportional to 53,712.76, 74,120.42 and 29,838.84

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Solution

The fourth proportional to 53,712.76, 74,120.42 and 29,838.84 is: 41,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.76 : 74,120.42 = 29,838.84 : x
  2. Step 2: Convert to fraction form
    53,712.76/74,120.42 = 29,838.84/x
  3. Step 3: Cross multiply
    53,712.76x = 74,120.42 × 29,838.84
  4. Step 4: Simplify right side
    53,712.76x = 2,211,667,353.11
  5. Step 5: Solve for x
    x = 2,211,667,353.11/53,712.76
  6. Step 6: Final answer
    x = 41,175.83

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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.