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Finding the Fourth Proportional to 34,503.27, 51,765.85 and 12,316.16

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Solution

The fourth proportional to 34,503.27, 51,765.85 and 12,316.16 is: 18,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,503.27 : 51,765.85 = 12,316.16 : x
  2. Step 2: Convert to fraction form
    34,503.27/51,765.85 = 12,316.16/x
  3. Step 3: Cross multiply
    34,503.27x = 51,765.85 × 12,316.16
  4. Step 4: Simplify right side
    34,503.27x = 637,556,232.31
  5. Step 5: Solve for x
    x = 637,556,232.31/34,503.27
  6. Step 6: Final answer
    x = 18,478.14

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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.