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Finding the Fourth Proportional to 48,871, 73,307.22 and 11,935

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Solution

The fourth proportional to 48,871, 73,307.22 and 11,935 is: 17,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871 : 73,307.22 = 11,935 : x
  2. Step 2: Convert to fraction form
    48,871/73,307.22 = 11,935/x
  3. Step 3: Cross multiply
    48,871x = 73,307.22 × 11,935
  4. Step 4: Simplify right side
    48,871x = 874,921,670.70
  5. Step 5: Solve for x
    x = 874,921,670.70/48,871
  6. Step 6: Final answer
    x = 17,902.68

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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.