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Finding the Fourth Proportional to 34,478.32, 51,718.60 and 9,520.24

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Solution

The fourth proportional to 34,478.32, 51,718.60 and 9,520.24 is: 14,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.32 : 51,718.60 = 9,520.24 : x
  2. Step 2: Convert to fraction form
    34,478.32/51,718.60 = 9,520.24/x
  3. Step 3: Cross multiply
    34,478.32x = 51,718.60 × 9,520.24
  4. Step 4: Simplify right side
    34,478.32x = 492,373,484.46
  5. Step 5: Solve for x
    x = 492,373,484.46/34,478.32
  6. Step 6: Final answer
    x = 14,280.67

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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.