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Finding the Fourth Proportional to 30,837.42, 42,555.51 and 17,408.52

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Solution

The fourth proportional to 30,837.42, 42,555.51 and 17,408.52 is: 24,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.42 : 42,555.51 = 17,408.52 : x
  2. Step 2: Convert to fraction form
    30,837.42/42,555.51 = 17,408.52/x
  3. Step 3: Cross multiply
    30,837.42x = 42,555.51 × 17,408.52
  4. Step 4: Simplify right side
    30,837.42x = 740,828,446.95
  5. Step 5: Solve for x
    x = 740,828,446.95/30,837.42
  6. Step 6: Final answer
    x = 24,023.68

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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.