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Finding the Fourth Proportional to 53,701.28, 74,107.28 and 29,828

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Solution

The fourth proportional to 53,701.28, 74,107.28 and 29,828 is: 41,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701.28 : 74,107.28 = 29,828 : x
  2. Step 2: Convert to fraction form
    53,701.28/74,107.28 = 29,828/x
  3. Step 3: Cross multiply
    53,701.28x = 74,107.28 × 29,828
  4. Step 4: Simplify right side
    53,701.28x = 2,210,471,947.84
  5. Step 5: Solve for x
    x = 2,210,471,947.84/53,701.28
  6. Step 6: Final answer
    x = 41,162.37

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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.