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Finding the Fourth Proportional to 57,403.16, 85,944.30 and 31,013.40

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Solution

The fourth proportional to 57,403.16, 85,944.30 and 31,013.40 is: 46,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,403.16 : 85,944.30 = 31,013.40 : x
  2. Step 2: Convert to fraction form
    57,403.16/85,944.30 = 31,013.40/x
  3. Step 3: Cross multiply
    57,403.16x = 85,944.30 × 31,013.40
  4. Step 4: Simplify right side
    57,403.16x = 2,665,424,953.62
  5. Step 5: Solve for x
    x = 2,665,424,953.62/57,403.16
  6. Step 6: Final answer
    x = 46,433.42

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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.