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Finding the Fourth Proportional to 75,052.34, 112,578.46 and 28,294.28

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Solution

The fourth proportional to 75,052.34, 112,578.46 and 28,294.28 is: 42,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052.34 : 112,578.46 = 28,294.28 : x
  2. Step 2: Convert to fraction form
    75,052.34/112,578.46 = 28,294.28/x
  3. Step 3: Cross multiply
    75,052.34x = 112,578.46 × 28,294.28
  4. Step 4: Simplify right side
    75,052.34x = 3,185,326,469.21
  5. Step 5: Solve for x
    x = 3,185,326,469.21/75,052.34
  6. Step 6: Final answer
    x = 42,441.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.