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Finding the Fourth Proportional to 41,657.48, 62,492.70 and 13,949

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Solution

The fourth proportional to 41,657.48, 62,492.70 and 13,949 is: 20,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.48 : 62,492.70 = 13,949 : x
  2. Step 2: Convert to fraction form
    41,657.48/62,492.70 = 13,949/x
  3. Step 3: Cross multiply
    41,657.48x = 62,492.70 × 13,949
  4. Step 4: Simplify right side
    41,657.48x = 871,710,672.30
  5. Step 5: Solve for x
    x = 871,710,672.30/41,657.48
  6. Step 6: Final answer
    x = 20,925.67

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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.