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Finding the Fourth Proportional to 57,783.92, 86,686.64 and 18,330.40

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Solution

The fourth proportional to 57,783.92, 86,686.64 and 18,330.40 is: 27,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.92 : 86,686.64 = 18,330.40 : x
  2. Step 2: Convert to fraction form
    57,783.92/86,686.64 = 18,330.40/x
  3. Step 3: Cross multiply
    57,783.92x = 86,686.64 × 18,330.40
  4. Step 4: Simplify right side
    57,783.92x = 1,589,000,785.86
  5. Step 5: Solve for x
    x = 1,589,000,785.86/57,783.92
  6. Step 6: Final answer
    x = 27,499.01

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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.