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Finding the Fourth Proportional to 57,707.16, 86,560.74 and 31,463.16

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Solution

The fourth proportional to 57,707.16, 86,560.74 and 31,463.16 is: 47,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,707.16 : 86,560.74 = 31,463.16 : x
  2. Step 2: Convert to fraction form
    57,707.16/86,560.74 = 31,463.16/x
  3. Step 3: Cross multiply
    57,707.16x = 86,560.74 × 31,463.16
  4. Step 4: Simplify right side
    57,707.16x = 2,723,474,412.34
  5. Step 5: Solve for x
    x = 2,723,474,412.34/57,707.16
  6. Step 6: Final answer
    x = 47,194.74

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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.