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Finding the Fourth Proportional to 78,048.50, 117,000.98 and 28,116.38

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Solution

The fourth proportional to 78,048.50, 117,000.98 and 28,116.38 is: 42,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048.50 : 117,000.98 = 28,116.38 : x
  2. Step 2: Convert to fraction form
    78,048.50/117,000.98 = 28,116.38/x
  3. Step 3: Cross multiply
    78,048.50x = 117,000.98 × 28,116.38
  4. Step 4: Simplify right side
    78,048.50x = 3,289,644,014.05
  5. Step 5: Solve for x
    x = 3,289,644,014.05/78,048.50
  6. Step 6: Final answer
    x = 42,148.72

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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.