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Finding the Fourth Proportional to 53,738.84, 74,156.84 and 29,867.28

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Solution

The fourth proportional to 53,738.84, 74,156.84 and 29,867.28 is: 41,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.84 : 74,156.84 = 29,867.28 : x
  2. Step 2: Convert to fraction form
    53,738.84/74,156.84 = 29,867.28/x
  3. Step 3: Cross multiply
    53,738.84x = 74,156.84 × 29,867.28
  4. Step 4: Simplify right side
    53,738.84x = 2,214,863,289.91
  5. Step 5: Solve for x
    x = 2,214,863,289.91/53,738.84
  6. Step 6: Final answer
    x = 41,215.31

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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.