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Finding the Fourth Proportional to 111,533.64, 167,326.80 and 36,654

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Solution

The fourth proportional to 111,533.64, 167,326.80 and 36,654 is: 54,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,533.64 : 167,326.80 = 36,654 : x
  2. Step 2: Convert to fraction form
    111,533.64/167,326.80 = 36,654/x
  3. Step 3: Cross multiply
    111,533.64x = 167,326.80 × 36,654
  4. Step 4: Simplify right side
    111,533.64x = 6,133,196,527.20
  5. Step 5: Solve for x
    x = 6,133,196,527.20/111,533.64
  6. Step 6: Final answer
    x = 54,989.66

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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.