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Finding the Fourth Proportional to 57,385.19, 86,082.74 and 15,832.19

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Solution

The fourth proportional to 57,385.19, 86,082.74 and 15,832.19 is: 23,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.19 : 86,082.74 = 15,832.19 : x
  2. Step 2: Convert to fraction form
    57,385.19/86,082.74 = 15,832.19/x
  3. Step 3: Cross multiply
    57,385.19x = 86,082.74 × 15,832.19
  4. Step 4: Simplify right side
    57,385.19x = 1,362,878,295.40
  5. Step 5: Solve for x
    x = 1,362,878,295.40/57,385.19
  6. Step 6: Final answer
    x = 23,749.65

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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.