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Finding the Fourth Proportional to 102,191.32, 153,310.04 and 31,120.32

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Solution

The fourth proportional to 102,191.32, 153,310.04 and 31,120.32 is: 46,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.32 : 153,310.04 = 31,120.32 : x
  2. Step 2: Convert to fraction form
    102,191.32/153,310.04 = 31,120.32/x
  3. Step 3: Cross multiply
    102,191.32x = 153,310.04 × 31,120.32
  4. Step 4: Simplify right side
    102,191.32x = 4,771,057,504.01
  5. Step 5: Solve for x
    x = 4,771,057,504.01/102,191.32
  6. Step 6: Final answer
    x = 46,687.50

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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.