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Finding the Fourth Proportional to 85,457.94, 117,931.32 and 47,220

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Solution

The fourth proportional to 85,457.94, 117,931.32 and 47,220 is: 65,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.94 : 117,931.32 = 47,220 : x
  2. Step 2: Convert to fraction form
    85,457.94/117,931.32 = 47,220/x
  3. Step 3: Cross multiply
    85,457.94x = 117,931.32 × 47,220
  4. Step 4: Simplify right side
    85,457.94x = 5,568,716,930.40
  5. Step 5: Solve for x
    x = 5,568,716,930.40/85,457.94
  6. Step 6: Final answer
    x = 65,163.25

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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.