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Finding the Fourth Proportional to 53,701.38, 74,110.38 and 29,828.16

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Solution

The fourth proportional to 53,701.38, 74,110.38 and 29,828.16 is: 41,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701.38 : 74,110.38 = 29,828.16 : x
  2. Step 2: Convert to fraction form
    53,701.38/74,110.38 = 29,828.16/x
  3. Step 3: Cross multiply
    53,701.38x = 74,110.38 × 29,828.16
  4. Step 4: Simplify right side
    53,701.38x = 2,210,576,272.30
  5. Step 5: Solve for x
    x = 2,210,576,272.30/53,701.38
  6. Step 6: Final answer
    x = 41,164.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.