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Finding the Fourth Proportional to 30,534.12, 42,129.22 and 17,956.52

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Solution

The fourth proportional to 30,534.12, 42,129.22 and 17,956.52 is: 24,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.12 : 42,129.22 = 17,956.52 : x
  2. Step 2: Convert to fraction form
    30,534.12/42,129.22 = 17,956.52/x
  3. Step 3: Cross multiply
    30,534.12x = 42,129.22 × 17,956.52
  4. Step 4: Simplify right side
    30,534.12x = 756,494,181.51
  5. Step 5: Solve for x
    x = 756,494,181.51/30,534.12
  6. Step 6: Final answer
    x = 24,775.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.