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Finding the Fourth Proportional to 37,643.40, 56,465.10 and 23,646.60

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Solution

The fourth proportional to 37,643.40, 56,465.10 and 23,646.60 is: 35,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.40 : 56,465.10 = 23,646.60 : x
  2. Step 2: Convert to fraction form
    37,643.40/56,465.10 = 23,646.60/x
  3. Step 3: Cross multiply
    37,643.40x = 56,465.10 × 23,646.60
  4. Step 4: Simplify right side
    37,643.40x = 1,335,207,633.66
  5. Step 5: Solve for x
    x = 1,335,207,633.66/37,643.40
  6. Step 6: Final answer
    x = 35,469.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.