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Finding the Fourth Proportional to 47,627.95, 71,416.40 and 16,027.50

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Solution

The fourth proportional to 47,627.95, 71,416.40 and 16,027.50 is: 24,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,627.95 : 71,416.40 = 16,027.50 : x
  2. Step 2: Convert to fraction form
    47,627.95/71,416.40 = 16,027.50/x
  3. Step 3: Cross multiply
    47,627.95x = 71,416.40 × 16,027.50
  4. Step 4: Simplify right side
    47,627.95x = 1,144,626,628.83
  5. Step 5: Solve for x
    x = 1,144,626,628.83/47,627.95
  6. Step 6: Final answer
    x = 24,032.67

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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.