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Finding the Fourth Proportional to 85,147.82, 117,507.63 and 47,422.07

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Solution

The fourth proportional to 85,147.82, 117,507.63 and 47,422.07 is: 65,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.82 : 117,507.63 = 47,422.07 : x
  2. Step 2: Convert to fraction form
    85,147.82/117,507.63 = 47,422.07/x
  3. Step 3: Cross multiply
    85,147.82x = 117,507.63 × 47,422.07
  4. Step 4: Simplify right side
    85,147.82x = 5,572,454,230.75
  5. Step 5: Solve for x
    x = 5,572,454,230.75/85,147.82
  6. Step 6: Final answer
    x = 65,444.48

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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.