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Finding the Fourth Proportional to 29,762.98, 44,636.96 and 11,032.72

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Solution

The fourth proportional to 29,762.98, 44,636.96 and 11,032.72 is: 16,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.98 : 44,636.96 = 11,032.72 : x
  2. Step 2: Convert to fraction form
    29,762.98/44,636.96 = 11,032.72/x
  3. Step 3: Cross multiply
    29,762.98x = 44,636.96 × 11,032.72
  4. Step 4: Simplify right side
    29,762.98x = 492,467,026.17
  5. Step 5: Solve for x
    x = 492,467,026.17/29,762.98
  6. Step 6: Final answer
    x = 16,546.29

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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.