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Finding the Fourth Proportional to 85,454.76, 117,927.16 and 47,214.29

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Solution

The fourth proportional to 85,454.76, 117,927.16 and 47,214.29 is: 65,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.76 : 117,927.16 = 47,214.29 : x
  2. Step 2: Convert to fraction form
    85,454.76/117,927.16 = 47,214.29/x
  3. Step 3: Cross multiply
    85,454.76x = 117,927.16 × 47,214.29
  4. Step 4: Simplify right side
    85,454.76x = 5,567,847,307.90
  5. Step 5: Solve for x
    x = 5,567,847,307.90/85,454.76
  6. Step 6: Final answer
    x = 65,155.49

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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.