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Finding the Fourth Proportional to 53,643.94, 74,033.28 and 29,775.22

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Solution

The fourth proportional to 53,643.94, 74,033.28 and 29,775.22 is: 41,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.94 : 74,033.28 = 29,775.22 : x
  2. Step 2: Convert to fraction form
    53,643.94/74,033.28 = 29,775.22/x
  3. Step 3: Cross multiply
    53,643.94x = 74,033.28 × 29,775.22
  4. Step 4: Simplify right side
    53,643.94x = 2,204,357,199.32
  5. Step 5: Solve for x
    x = 2,204,357,199.32/53,643.94
  6. Step 6: Final answer
    x = 41,092.38

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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.