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Finding the Fourth Proportional to 53,853.96, 74,320.89 and 29,982.13

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Solution

The fourth proportional to 53,853.96, 74,320.89 and 29,982.13 is: 41,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,853.96 : 74,320.89 = 29,982.13 : x
  2. Step 2: Convert to fraction form
    53,853.96/74,320.89 = 29,982.13/x
  3. Step 3: Cross multiply
    53,853.96x = 74,320.89 × 29,982.13
  4. Step 4: Simplify right side
    53,853.96x = 2,228,298,585.70
  5. Step 5: Solve for x
    x = 2,228,298,585.70/53,853.96
  6. Step 6: Final answer
    x = 41,376.69

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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.