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Finding the Fourth Proportional to 30,653.48, 42,301.76 and 17,915.42

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Solution

The fourth proportional to 30,653.48, 42,301.76 and 17,915.42 is: 24,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.48 : 42,301.76 = 17,915.42 : x
  2. Step 2: Convert to fraction form
    30,653.48/42,301.76 = 17,915.42/x
  3. Step 3: Cross multiply
    30,653.48x = 42,301.76 × 17,915.42
  4. Step 4: Simplify right side
    30,653.48x = 757,853,797.14
  5. Step 5: Solve for x
    x = 757,853,797.14/30,653.48
  6. Step 6: Final answer
    x = 24,723.25

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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.