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Finding the Fourth Proportional to 30,752.40, 42,422.76 and 23,676.24

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Solution

The fourth proportional to 30,752.40, 42,422.76 and 23,676.24 is: 32,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.40 : 42,422.76 = 23,676.24 : x
  2. Step 2: Convert to fraction form
    30,752.40/42,422.76 = 23,676.24/x
  3. Step 3: Cross multiply
    30,752.40x = 42,422.76 × 23,676.24
  4. Step 4: Simplify right side
    30,752.40x = 1,004,411,447.22
  5. Step 5: Solve for x
    x = 1,004,411,447.22/30,752.40
  6. Step 6: Final answer
    x = 32,661.24

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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.