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Finding the Fourth Proportional to 167,965.80, 251,948.70 and 49,638.30

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Solution

The fourth proportional to 167,965.80, 251,948.70 and 49,638.30 is: 74,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,965.80 : 251,948.70 = 49,638.30 : x
  2. Step 2: Convert to fraction form
    167,965.80/251,948.70 = 49,638.30/x
  3. Step 3: Cross multiply
    167,965.80x = 251,948.70 × 49,638.30
  4. Step 4: Simplify right side
    167,965.80x = 12,506,305,155.21
  5. Step 5: Solve for x
    x = 12,506,305,155.21/167,965.80
  6. Step 6: Final answer
    x = 74,457.45

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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.