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Finding the Fourth Proportional to 65,541.56, 90,447.30 and 35,733.56

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Solution

The fourth proportional to 65,541.56, 90,447.30 and 35,733.56 is: 49,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541.56 : 90,447.30 = 35,733.56 : x
  2. Step 2: Convert to fraction form
    65,541.56/90,447.30 = 35,733.56/x
  3. Step 3: Cross multiply
    65,541.56x = 90,447.30 × 35,733.56
  4. Step 4: Simplify right side
    65,541.56x = 3,232,004,021.39
  5. Step 5: Solve for x
    x = 3,232,004,021.39/65,541.56
  6. Step 6: Final answer
    x = 49,312.28

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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.