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Finding the Fourth Proportional to 108,871, 163,306.50 and 34,999

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Solution

The fourth proportional to 108,871, 163,306.50 and 34,999 is: 52,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,871 : 163,306.50 = 34,999 : x
  2. Step 2: Convert to fraction form
    108,871/163,306.50 = 34,999/x
  3. Step 3: Cross multiply
    108,871x = 163,306.50 × 34,999
  4. Step 4: Simplify right side
    108,871x = 5,715,564,193.50
  5. Step 5: Solve for x
    x = 5,715,564,193.50/108,871
  6. Step 6: Final answer
    x = 52,498.50

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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.