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Finding the Fourth Proportional to 30,358.50, 45,537.72 and 9,582

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Solution

The fourth proportional to 30,358.50, 45,537.72 and 9,582 is: 14,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,358.50 : 45,537.72 = 9,582 : x
  2. Step 2: Convert to fraction form
    30,358.50/45,537.72 = 9,582/x
  3. Step 3: Cross multiply
    30,358.50x = 45,537.72 × 9,582
  4. Step 4: Simplify right side
    30,358.50x = 436,342,433.04
  5. Step 5: Solve for x
    x = 436,342,433.04/30,358.50
  6. Step 6: Final answer
    x = 14,372.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.