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Finding the Fourth Proportional to 42,423.40, 63,635.10 and 21,428.20

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Solution

The fourth proportional to 42,423.40, 63,635.10 and 21,428.20 is: 32,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423.40 : 63,635.10 = 21,428.20 : x
  2. Step 2: Convert to fraction form
    42,423.40/63,635.10 = 21,428.20/x
  3. Step 3: Cross multiply
    42,423.40x = 63,635.10 × 21,428.20
  4. Step 4: Simplify right side
    42,423.40x = 1,363,585,649.82
  5. Step 5: Solve for x
    x = 1,363,585,649.82/42,423.40
  6. Step 6: Final answer
    x = 32,142.30

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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.