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Finding the Fourth Proportional to 30,406.51, 42,076.02 and 25,923.16

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Solution

The fourth proportional to 30,406.51, 42,076.02 and 25,923.16 is: 35,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.51 : 42,076.02 = 25,923.16 : x
  2. Step 2: Convert to fraction form
    30,406.51/42,076.02 = 25,923.16/x
  3. Step 3: Cross multiply
    30,406.51x = 42,076.02 × 25,923.16
  4. Step 4: Simplify right side
    30,406.51x = 1,090,743,398.62
  5. Step 5: Solve for x
    x = 1,090,743,398.62/30,406.51
  6. Step 6: Final answer
    x = 35,872.04

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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.