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Finding the Fourth Proportional to 100,845.82, 151,268.70 and 37,670.88

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Solution

The fourth proportional to 100,845.82, 151,268.70 and 37,670.88 is: 56,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,845.82 : 151,268.70 = 37,670.88 : x
  2. Step 2: Convert to fraction form
    100,845.82/151,268.70 = 37,670.88/x
  3. Step 3: Cross multiply
    100,845.82x = 151,268.70 × 37,670.88
  4. Step 4: Simplify right side
    100,845.82x = 5,698,425,045.46
  5. Step 5: Solve for x
    x = 5,698,425,045.46/100,845.82
  6. Step 6: Final answer
    x = 56,506.31

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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.