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Finding the Fourth Proportional to 111,022.64, 166,588.60 and 51,849.72

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Solution

The fourth proportional to 111,022.64, 166,588.60 and 51,849.72 is: 77,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,022.64 : 166,588.60 = 51,849.72 : x
  2. Step 2: Convert to fraction form
    111,022.64/166,588.60 = 51,849.72/x
  3. Step 3: Cross multiply
    111,022.64x = 166,588.60 × 51,849.72
  4. Step 4: Simplify right side
    111,022.64x = 8,637,572,265.19
  5. Step 5: Solve for x
    x = 8,637,572,265.19/111,022.64
  6. Step 6: Final answer
    x = 77,800.10

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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.