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Finding the Fourth Proportional to 29,142.36, 43,734.60 and 11,602.08

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Solution

The fourth proportional to 29,142.36, 43,734.60 and 11,602.08 is: 17,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.36 : 43,734.60 = 11,602.08 : x
  2. Step 2: Convert to fraction form
    29,142.36/43,734.60 = 11,602.08/x
  3. Step 3: Cross multiply
    29,142.36x = 43,734.60 × 11,602.08
  4. Step 4: Simplify right side
    29,142.36x = 507,412,327.97
  5. Step 5: Solve for x
    x = 507,412,327.97/29,142.36
  6. Step 6: Final answer
    x = 17,411.50

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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.