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Finding the Fourth Proportional to 108,969.74, 163,464.02 and 30,083.98

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Solution

The fourth proportional to 108,969.74, 163,464.02 and 30,083.98 is: 45,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,969.74 : 163,464.02 = 30,083.98 : x
  2. Step 2: Convert to fraction form
    108,969.74/163,464.02 = 30,083.98/x
  3. Step 3: Cross multiply
    108,969.74x = 163,464.02 × 30,083.98
  4. Step 4: Simplify right side
    108,969.74x = 4,917,648,308.40
  5. Step 5: Solve for x
    x = 4,917,648,308.40/108,969.74
  6. Step 6: Final answer
    x = 45,128.57

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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.