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Finding the Fourth Proportional to 34,715.95, 52,074.23 and 8,420.92

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Solution

The fourth proportional to 34,715.95, 52,074.23 and 8,420.92 is: 12,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.95 : 52,074.23 = 8,420.92 : x
  2. Step 2: Convert to fraction form
    34,715.95/52,074.23 = 8,420.92/x
  3. Step 3: Cross multiply
    34,715.95x = 52,074.23 × 8,420.92
  4. Step 4: Simplify right side
    34,715.95x = 438,512,752.60
  5. Step 5: Solve for x
    x = 438,512,752.60/34,715.95
  6. Step 6: Final answer
    x = 12,631.45

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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.