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Finding the Fourth Proportional to 104,647.95, 156,971.88 and 30,775.95

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Solution

The fourth proportional to 104,647.95, 156,971.88 and 30,775.95 is: 46,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,647.95 : 156,971.88 = 30,775.95 : x
  2. Step 2: Convert to fraction form
    104,647.95/156,971.88 = 30,775.95/x
  3. Step 3: Cross multiply
    104,647.95x = 156,971.88 × 30,775.95
  4. Step 4: Simplify right side
    104,647.95x = 4,830,958,730.29
  5. Step 5: Solve for x
    x = 4,830,958,730.29/104,647.95
  6. Step 6: Final answer
    x = 46,163.91

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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.