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Finding the Fourth Proportional to 32,610.12, 45,021.06 and 23,649

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Solution

The fourth proportional to 32,610.12, 45,021.06 and 23,649 is: 32,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,610.12 : 45,021.06 = 23,649 : x
  2. Step 2: Convert to fraction form
    32,610.12/45,021.06 = 23,649/x
  3. Step 3: Cross multiply
    32,610.12x = 45,021.06 × 23,649
  4. Step 4: Simplify right side
    32,610.12x = 1,064,703,047.94
  5. Step 5: Solve for x
    x = 1,064,703,047.94/32,610.12
  6. Step 6: Final answer
    x = 32,649.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.