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Finding the Fourth Proportional to 30,423.75, 45,635.63 and 9,647.25

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Solution

The fourth proportional to 30,423.75, 45,635.63 and 9,647.25 is: 14,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.75 : 45,635.63 = 9,647.25 : x
  2. Step 2: Convert to fraction form
    30,423.75/45,635.63 = 9,647.25/x
  3. Step 3: Cross multiply
    30,423.75x = 45,635.63 × 9,647.25
  4. Step 4: Simplify right side
    30,423.75x = 440,258,283.28
  5. Step 5: Solve for x
    x = 440,258,283.28/30,423.75
  6. Step 6: Final answer
    x = 14,470.88

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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.