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Finding the Fourth Proportional to 29,762.78, 44,648.69 and 9,765.63

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Solution

The fourth proportional to 29,762.78, 44,648.69 and 9,765.63 is: 14,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.78 : 44,648.69 = 9,765.63 : x
  2. Step 2: Convert to fraction form
    29,762.78/44,648.69 = 9,765.63/x
  3. Step 3: Cross multiply
    29,762.78x = 44,648.69 × 9,765.63
  4. Step 4: Simplify right side
    29,762.78x = 436,022,537.70
  5. Step 5: Solve for x
    x = 436,022,537.70/29,762.78
  6. Step 6: Final answer
    x = 14,649.93

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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.