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Finding the Fourth Proportional to 85,352.32, 117,798.06 and 47,629

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Solution

The fourth proportional to 85,352.32, 117,798.06 and 47,629 is: 65,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.32 : 117,798.06 = 47,629 : x
  2. Step 2: Convert to fraction form
    85,352.32/117,798.06 = 47,629/x
  3. Step 3: Cross multiply
    85,352.32x = 117,798.06 × 47,629
  4. Step 4: Simplify right side
    85,352.32x = 5,610,603,799.74
  5. Step 5: Solve for x
    x = 5,610,603,799.74/85,352.32
  6. Step 6: Final answer
    x = 65,734.64

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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.