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Finding the Fourth Proportional to 104,518.81, 156,804.26 and 30,646.81

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Solution

The fourth proportional to 104,518.81, 156,804.26 and 30,646.81 is: 45,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,518.81 : 156,804.26 = 30,646.81 : x
  2. Step 2: Convert to fraction form
    104,518.81/156,804.26 = 30,646.81/x
  3. Step 3: Cross multiply
    104,518.81x = 156,804.26 × 30,646.81
  4. Step 4: Simplify right side
    104,518.81x = 4,805,550,363.41
  5. Step 5: Solve for x
    x = 4,805,550,363.41/104,518.81
  6. Step 6: Final answer
    x = 45,977.85

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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.