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Finding the Fourth Proportional to 48,396, 66,798 and 29,549.04

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Solution

The fourth proportional to 48,396, 66,798 and 29,549.04 is: 40,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,396 : 66,798 = 29,549.04 : x
  2. Step 2: Convert to fraction form
    48,396/66,798 = 29,549.04/x
  3. Step 3: Cross multiply
    48,396x = 66,798 × 29,549.04
  4. Step 4: Simplify right side
    48,396x = 1,973,816,773.92
  5. Step 5: Solve for x
    x = 1,973,816,773.92/48,396
  6. Step 6: Final answer
    x = 40,784.71

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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.