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Finding the Fourth Proportional to 30,436.74, 42,007.50 and 18,503.82

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Solution

The fourth proportional to 30,436.74, 42,007.50 and 18,503.82 is: 25,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.74 : 42,007.50 = 18,503.82 : x
  2. Step 2: Convert to fraction form
    30,436.74/42,007.50 = 18,503.82/x
  3. Step 3: Cross multiply
    30,436.74x = 42,007.50 × 18,503.82
  4. Step 4: Simplify right side
    30,436.74x = 777,299,218.65
  5. Step 5: Solve for x
    x = 777,299,218.65/30,436.74
  6. Step 6: Final answer
    x = 25,538.19

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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.