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Finding the Fourth Proportional to 29,792.02, 44,688 and 7,605.40

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Solution

The fourth proportional to 29,792.02, 44,688 and 7,605.40 is: 11,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,792.02 : 44,688 = 7,605.40 : x
  2. Step 2: Convert to fraction form
    29,792.02/44,688 = 7,605.40/x
  3. Step 3: Cross multiply
    29,792.02x = 44,688 × 7,605.40
  4. Step 4: Simplify right side
    29,792.02x = 339,870,115.20
  5. Step 5: Solve for x
    x = 339,870,115.20/29,792.02
  6. Step 6: Final answer
    x = 11,408.09

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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.