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Finding the Fourth Proportional to 52,142.34, 78,211.98 and 12,698.88

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Solution

The fourth proportional to 52,142.34, 78,211.98 and 12,698.88 is: 19,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.34 : 78,211.98 = 12,698.88 : x
  2. Step 2: Convert to fraction form
    52,142.34/78,211.98 = 12,698.88/x
  3. Step 3: Cross multiply
    52,142.34x = 78,211.98 × 12,698.88
  4. Step 4: Simplify right side
    52,142.34x = 993,204,548.58
  5. Step 5: Solve for x
    x = 993,204,548.58/52,142.34
  6. Step 6: Final answer
    x = 19,047.95

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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.