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Finding the Fourth Proportional to 30,953.34, 42,619.95 and 24,174.75

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Solution

The fourth proportional to 30,953.34, 42,619.95 and 24,174.75 is: 33,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.34 : 42,619.95 = 24,174.75 : x
  2. Step 2: Convert to fraction form
    30,953.34/42,619.95 = 24,174.75/x
  3. Step 3: Cross multiply
    30,953.34x = 42,619.95 × 24,174.75
  4. Step 4: Simplify right side
    30,953.34x = 1,030,326,636.26
  5. Step 5: Solve for x
    x = 1,030,326,636.26/30,953.34
  6. Step 6: Final answer
    x = 33,286.44

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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.