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Finding the Fourth Proportional to 69,830.12, 104,745.18 and 32,897

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Solution

The fourth proportional to 69,830.12, 104,745.18 and 32,897 is: 49,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,830.12 : 104,745.18 = 32,897 : x
  2. Step 2: Convert to fraction form
    69,830.12/104,745.18 = 32,897/x
  3. Step 3: Cross multiply
    69,830.12x = 104,745.18 × 32,897
  4. Step 4: Simplify right side
    69,830.12x = 3,445,802,186.46
  5. Step 5: Solve for x
    x = 3,445,802,186.46/69,830.12
  6. Step 6: Final answer
    x = 49,345.50

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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.