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Finding the Fourth Proportional to 53,838.77, 74,298.21 and 29,642.55

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Solution

The fourth proportional to 53,838.77, 74,298.21 and 29,642.55 is: 40,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.77 : 74,298.21 = 29,642.55 : x
  2. Step 2: Convert to fraction form
    53,838.77/74,298.21 = 29,642.55/x
  3. Step 3: Cross multiply
    53,838.77x = 74,298.21 × 29,642.55
  4. Step 4: Simplify right side
    53,838.77x = 2,202,388,404.84
  5. Step 5: Solve for x
    x = 2,202,388,404.84/53,838.77
  6. Step 6: Final answer
    x = 40,907.11

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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.