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Finding the Fourth Proportional to 104,647.26, 156,970.89 and 30,775.26

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Solution

The fourth proportional to 104,647.26, 156,970.89 and 30,775.26 is: 46,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,647.26 : 156,970.89 = 30,775.26 : x
  2. Step 2: Convert to fraction form
    104,647.26/156,970.89 = 30,775.26/x
  3. Step 3: Cross multiply
    104,647.26x = 156,970.89 × 30,775.26
  4. Step 4: Simplify right side
    104,647.26x = 4,830,819,952.18
  5. Step 5: Solve for x
    x = 4,830,819,952.18/104,647.26
  6. Step 6: Final answer
    x = 46,162.89

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1.5x scale

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.