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Finding the Fourth Proportional to 53,794.42, 74,240 and 29,923.32

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Solution

The fourth proportional to 53,794.42, 74,240 and 29,923.32 is: 41,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.42 : 74,240 = 29,923.32 : x
  2. Step 2: Convert to fraction form
    53,794.42/74,240 = 29,923.32/x
  3. Step 3: Cross multiply
    53,794.42x = 74,240 × 29,923.32
  4. Step 4: Simplify right side
    53,794.42x = 2,221,507,276.80
  5. Step 5: Solve for x
    x = 2,221,507,276.80/53,794.42
  6. Step 6: Final answer
    x = 41,296.24

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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.