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Finding the Fourth Proportional to 56,570.64, 78,067.92 and 35,362.40

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Solution

The fourth proportional to 56,570.64, 78,067.92 and 35,362.40 is: 48,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,570.64 : 78,067.92 = 35,362.40 : x
  2. Step 2: Convert to fraction form
    56,570.64/78,067.92 = 35,362.40/x
  3. Step 3: Cross multiply
    56,570.64x = 78,067.92 × 35,362.40
  4. Step 4: Simplify right side
    56,570.64x = 2,760,669,014.21
  5. Step 5: Solve for x
    x = 2,760,669,014.21/56,570.64
  6. Step 6: Final answer
    x = 48,800.39

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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.