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Finding the Fourth Proportional to 30,407.51, 42,077.40 and 25,924.16

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Solution

The fourth proportional to 30,407.51, 42,077.40 and 25,924.16 is: 35,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.51 : 42,077.40 = 25,924.16 : x
  2. Step 2: Convert to fraction form
    30,407.51/42,077.40 = 25,924.16/x
  3. Step 3: Cross multiply
    30,407.51x = 42,077.40 × 25,924.16
  4. Step 4: Simplify right side
    30,407.51x = 1,090,821,249.98
  5. Step 5: Solve for x
    x = 1,090,821,249.98/30,407.51
  6. Step 6: Final answer
    x = 35,873.42

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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.