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Finding the Fourth Proportional to 85,497.83, 117,983.36 and 47,255.42

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Solution

The fourth proportional to 85,497.83, 117,983.36 and 47,255.42 is: 65,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.83 : 117,983.36 = 47,255.42 : x
  2. Step 2: Convert to fraction form
    85,497.83/117,983.36 = 47,255.42/x
  3. Step 3: Cross multiply
    85,497.83x = 117,983.36 × 47,255.42
  4. Step 4: Simplify right side
    85,497.83x = 5,575,352,993.53
  5. Step 5: Solve for x
    x = 5,575,352,993.53/85,497.83
  6. Step 6: Final answer
    x = 65,210.46

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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.