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Finding the Fourth Proportional to 37,728.34, 56,592.50 and 9,648.45

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Solution

The fourth proportional to 37,728.34, 56,592.50 and 9,648.45 is: 14,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.34 : 56,592.50 = 9,648.45 : x
  2. Step 2: Convert to fraction form
    37,728.34/56,592.50 = 9,648.45/x
  3. Step 3: Cross multiply
    37,728.34x = 56,592.50 × 9,648.45
  4. Step 4: Simplify right side
    37,728.34x = 546,029,858.38
  5. Step 5: Solve for x
    x = 546,029,858.38/37,728.34
  6. Step 6: Final answer
    x = 14,472.67

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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.