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Finding the Fourth Proportional to 86,157.24, 129,235.50 and 22,977.24

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Solution

The fourth proportional to 86,157.24, 129,235.50 and 22,977.24 is: 34,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,157.24 : 129,235.50 = 22,977.24 : x
  2. Step 2: Convert to fraction form
    86,157.24/129,235.50 = 22,977.24/x
  3. Step 3: Cross multiply
    86,157.24x = 129,235.50 × 22,977.24
  4. Step 4: Simplify right side
    86,157.24x = 2,969,475,100.02
  5. Step 5: Solve for x
    x = 2,969,475,100.02/86,157.24
  6. Step 6: Final answer
    x = 34,465.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.