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Finding the Fourth Proportional to 53,738.82, 74,157.28 and 29,866.96

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Solution

The fourth proportional to 53,738.82, 74,157.28 and 29,866.96 is: 41,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.82 : 74,157.28 = 29,866.96 : x
  2. Step 2: Convert to fraction form
    53,738.82/74,157.28 = 29,866.96/x
  3. Step 3: Cross multiply
    53,738.82x = 74,157.28 × 29,866.96
  4. Step 4: Simplify right side
    53,738.82x = 2,214,852,515.47
  5. Step 5: Solve for x
    x = 2,214,852,515.47/53,738.82
  6. Step 6: Final answer
    x = 41,215.13

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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.