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Finding the Fourth Proportional to 85,114.75, 117,466.56 and 47,389

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Solution

The fourth proportional to 85,114.75, 117,466.56 and 47,389 is: 65,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,114.75 : 117,466.56 = 47,389 : x
  2. Step 2: Convert to fraction form
    85,114.75/117,466.56 = 47,389/x
  3. Step 3: Cross multiply
    85,114.75x = 117,466.56 × 47,389
  4. Step 4: Simplify right side
    85,114.75x = 5,566,622,811.84
  5. Step 5: Solve for x
    x = 5,566,622,811.84/85,114.75
  6. Step 6: Final answer
    x = 65,401.39

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1.5x scale

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.