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Finding the Fourth Proportional to 35,941.49, 53,830.22 and 31,736.98

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Solution

The fourth proportional to 35,941.49, 53,830.22 and 31,736.98 is: 47,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941.49 : 53,830.22 = 31,736.98 : x
  2. Step 2: Convert to fraction form
    35,941.49/53,830.22 = 31,736.98/x
  3. Step 3: Cross multiply
    35,941.49x = 53,830.22 × 31,736.98
  4. Step 4: Simplify right side
    35,941.49x = 1,708,408,322.28
  5. Step 5: Solve for x
    x = 1,708,408,322.28/35,941.49
  6. Step 6: Final answer
    x = 47,533.05

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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.