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Finding the Fourth Proportional to 52,519.50, 78,779.25 and 15,583.50

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Solution

The fourth proportional to 52,519.50, 78,779.25 and 15,583.50 is: 23,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519.50 : 78,779.25 = 15,583.50 : x
  2. Step 2: Convert to fraction form
    52,519.50/78,779.25 = 15,583.50/x
  3. Step 3: Cross multiply
    52,519.50x = 78,779.25 × 15,583.50
  4. Step 4: Simplify right side
    52,519.50x = 1,227,656,442.38
  5. Step 5: Solve for x
    x = 1,227,656,442.38/52,519.50
  6. Step 6: Final answer
    x = 23,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.