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Finding the Fourth Proportional to 29,354.66, 44,038.37 and 9,632.46

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Solution

The fourth proportional to 29,354.66, 44,038.37 and 9,632.46 is: 14,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354.66 : 44,038.37 = 9,632.46 : x
  2. Step 2: Convert to fraction form
    29,354.66/44,038.37 = 9,632.46/x
  3. Step 3: Cross multiply
    29,354.66x = 44,038.37 × 9,632.46
  4. Step 4: Simplify right side
    29,354.66x = 424,197,837.49
  5. Step 5: Solve for x
    x = 424,197,837.49/29,354.66
  6. Step 6: Final answer
    x = 14,450.78

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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.