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Finding the Fourth Proportional to 30,537.34, 45,812.55 and 9,476.92

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Solution

The fourth proportional to 30,537.34, 45,812.55 and 9,476.92 is: 14,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.34 : 45,812.55 = 9,476.92 : x
  2. Step 2: Convert to fraction form
    30,537.34/45,812.55 = 9,476.92/x
  3. Step 3: Cross multiply
    30,537.34x = 45,812.55 × 9,476.92
  4. Step 4: Simplify right side
    30,537.34x = 434,161,871.35
  5. Step 5: Solve for x
    x = 434,161,871.35/30,537.34
  6. Step 6: Final answer
    x = 14,217.41

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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.