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Finding the Fourth Proportional to 111,382.40, 167,080.88 and 32,490

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Solution

The fourth proportional to 111,382.40, 167,080.88 and 32,490 is: 48,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,382.40 : 167,080.88 = 32,490 : x
  2. Step 2: Convert to fraction form
    111,382.40/167,080.88 = 32,490/x
  3. Step 3: Cross multiply
    111,382.40x = 167,080.88 × 32,490
  4. Step 4: Simplify right side
    111,382.40x = 5,428,457,791.20
  5. Step 5: Solve for x
    x = 5,428,457,791.20/111,382.40
  6. Step 6: Final answer
    x = 48,737.12

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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.