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Finding the Fourth Proportional to 29,187, 43,769.16 and 9,460.80

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Solution

The fourth proportional to 29,187, 43,769.16 and 9,460.80 is: 14,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187 : 43,769.16 = 9,460.80 : x
  2. Step 2: Convert to fraction form
    29,187/43,769.16 = 9,460.80/x
  3. Step 3: Cross multiply
    29,187x = 43,769.16 × 9,460.80
  4. Step 4: Simplify right side
    29,187x = 414,091,268.93
  5. Step 5: Solve for x
    x = 414,091,268.93/29,187
  6. Step 6: Final answer
    x = 14,187.52

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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.