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Finding the Fourth Proportional to 30,837.40, 42,551.05 and 18,085.77

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Solution

The fourth proportional to 30,837.40, 42,551.05 and 18,085.77 is: 24,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.40 : 42,551.05 = 18,085.77 : x
  2. Step 2: Convert to fraction form
    30,837.40/42,551.05 = 18,085.77/x
  3. Step 3: Cross multiply
    30,837.40x = 42,551.05 × 18,085.77
  4. Step 4: Simplify right side
    30,837.40x = 769,568,503.56
  5. Step 5: Solve for x
    x = 769,568,503.56/30,837.40
  6. Step 6: Final answer
    x = 24,955.69

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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.