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Finding the Fourth Proportional to 42,770.65, 59,021.13 and 23,649.31

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Solution

The fourth proportional to 42,770.65, 59,021.13 and 23,649.31 is: 32,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.65 : 59,021.13 = 23,649.31 : x
  2. Step 2: Convert to fraction form
    42,770.65/59,021.13 = 23,649.31/x
  3. Step 3: Cross multiply
    42,770.65x = 59,021.13 × 23,649.31
  4. Step 4: Simplify right side
    42,770.65x = 1,395,808,999.92
  5. Step 5: Solve for x
    x = 1,395,808,999.92/42,770.65
  6. Step 6: Final answer
    x = 32,634.74

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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.