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Finding the Fourth Proportional to 42,450, 63,684.20 and 12,870.10

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Solution

The fourth proportional to 42,450, 63,684.20 and 12,870.10 is: 19,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,450 : 63,684.20 = 12,870.10 : x
  2. Step 2: Convert to fraction form
    42,450/63,684.20 = 12,870.10/x
  3. Step 3: Cross multiply
    42,450x = 63,684.20 × 12,870.10
  4. Step 4: Simplify right side
    42,450x = 819,622,022.42
  5. Step 5: Solve for x
    x = 819,622,022.42/42,450
  6. Step 6: Final answer
    x = 19,307.94

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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.