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Finding the Fourth Proportional to 108,406.50, 162,511.32 and 49,210.08

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Solution

The fourth proportional to 108,406.50, 162,511.32 and 49,210.08 is: 73,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,406.50 : 162,511.32 = 49,210.08 : x
  2. Step 2: Convert to fraction form
    108,406.50/162,511.32 = 49,210.08/x
  3. Step 3: Cross multiply
    108,406.50x = 162,511.32 × 49,210.08
  4. Step 4: Simplify right side
    108,406.50x = 7,997,195,058.11
  5. Step 5: Solve for x
    x = 7,997,195,058.11/108,406.50
  6. Step 6: Final answer
    x = 73,770.44

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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.