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Finding the Fourth Proportional to 29,949.48, 44,925 and 7,762.68

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Solution

The fourth proportional to 29,949.48, 44,925 and 7,762.68 is: 11,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,949.48 : 44,925 = 7,762.68 : x
  2. Step 2: Convert to fraction form
    29,949.48/44,925 = 7,762.68/x
  3. Step 3: Cross multiply
    29,949.48x = 44,925 × 7,762.68
  4. Step 4: Simplify right side
    29,949.48x = 348,738,399
  5. Step 5: Solve for x
    x = 348,738,399/29,949.48
  6. Step 6: Final answer
    x = 11,644.22

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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.