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Finding the Fourth Proportional to 111,530.64, 167,322.30 and 36,651

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Solution

The fourth proportional to 111,530.64, 167,322.30 and 36,651 is: 54,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,530.64 : 167,322.30 = 36,651 : x
  2. Step 2: Convert to fraction form
    111,530.64/167,322.30 = 36,651/x
  3. Step 3: Cross multiply
    111,530.64x = 167,322.30 × 36,651
  4. Step 4: Simplify right side
    111,530.64x = 6,132,529,617.30
  5. Step 5: Solve for x
    x = 6,132,529,617.30/111,530.64
  6. Step 6: Final answer
    x = 54,985.16

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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.