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Finding the Fourth Proportional to 85,454.66, 117,927.04 and 47,214.21

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Solution

The fourth proportional to 85,454.66, 117,927.04 and 47,214.21 is: 65,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.66 : 117,927.04 = 47,214.21 : x
  2. Step 2: Convert to fraction form
    85,454.66/117,927.04 = 47,214.21/x
  3. Step 3: Cross multiply
    85,454.66x = 117,927.04 × 47,214.21
  4. Step 4: Simplify right side
    85,454.66x = 5,567,831,913.20
  5. Step 5: Solve for x
    x = 5,567,831,913.20/85,454.66
  6. Step 6: Final answer
    x = 65,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.