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Finding the Fourth Proportional to 42,406.50, 63,609.75 and 12,823.68

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Solution

The fourth proportional to 42,406.50, 63,609.75 and 12,823.68 is: 19,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.50 : 63,609.75 = 12,823.68 : x
  2. Step 2: Convert to fraction form
    42,406.50/63,609.75 = 12,823.68/x
  3. Step 3: Cross multiply
    42,406.50x = 63,609.75 × 12,823.68
  4. Step 4: Simplify right side
    42,406.50x = 815,711,078.88
  5. Step 5: Solve for x
    x = 815,711,078.88/42,406.50
  6. Step 6: Final answer
    x = 19,235.52

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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.