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Finding the Fourth Proportional to 108,967.74, 163,461.02 and 30,081.98

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Solution

The fourth proportional to 108,967.74, 163,461.02 and 30,081.98 is: 45,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,967.74 : 163,461.02 = 30,081.98 : x
  2. Step 2: Convert to fraction form
    108,967.74/163,461.02 = 30,081.98/x
  3. Step 3: Cross multiply
    108,967.74x = 163,461.02 × 30,081.98
  4. Step 4: Simplify right side
    108,967.74x = 4,917,230,166.70
  5. Step 5: Solve for x
    x = 4,917,230,166.70/108,967.74
  6. Step 6: Final answer
    x = 45,125.56

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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.