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Finding the Fourth Proportional to 34,735.34, 52,096.98 and 9,769.48

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Solution

The fourth proportional to 34,735.34, 52,096.98 and 9,769.48 is: 14,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.34 : 52,096.98 = 9,769.48 : x
  2. Step 2: Convert to fraction form
    34,735.34/52,096.98 = 9,769.48/x
  3. Step 3: Cross multiply
    34,735.34x = 52,096.98 × 9,769.48
  4. Step 4: Simplify right side
    34,735.34x = 508,960,404.17
  5. Step 5: Solve for x
    x = 508,960,404.17/34,735.34
  6. Step 6: Final answer
    x = 14,652.52

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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.