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Finding the Fourth Proportional to 40,909.82, 56,454.40 and 23,004.36

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Solution

The fourth proportional to 40,909.82, 56,454.40 and 23,004.36 is: 31,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909.82 : 56,454.40 = 23,004.36 : x
  2. Step 2: Convert to fraction form
    40,909.82/56,454.40 = 23,004.36/x
  3. Step 3: Cross multiply
    40,909.82x = 56,454.40 × 23,004.36
  4. Step 4: Simplify right side
    40,909.82x = 1,298,697,341.18
  5. Step 5: Solve for x
    x = 1,298,697,341.18/40,909.82
  6. Step 6: Final answer
    x = 31,745.37

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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.