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Finding the Fourth Proportional to 85,433.64, 117,900.24 and 47,707.86

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Solution

The fourth proportional to 85,433.64, 117,900.24 and 47,707.86 is: 65,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.64 : 117,900.24 = 47,707.86 : x
  2. Step 2: Convert to fraction form
    85,433.64/117,900.24 = 47,707.86/x
  3. Step 3: Cross multiply
    85,433.64x = 117,900.24 × 47,707.86
  4. Step 4: Simplify right side
    85,433.64x = 5,624,768,143.89
  5. Step 5: Solve for x
    x = 5,624,768,143.89/85,433.64
  6. Step 6: Final answer
    x = 65,837.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.