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Finding the Fourth Proportional to 47,703, 71,554.50 and 14,871

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Solution

The fourth proportional to 47,703, 71,554.50 and 14,871 is: 22,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703 : 71,554.50 = 14,871 : x
  2. Step 2: Convert to fraction form
    47,703/71,554.50 = 14,871/x
  3. Step 3: Cross multiply
    47,703x = 71,554.50 × 14,871
  4. Step 4: Simplify right side
    47,703x = 1,064,086,969.50
  5. Step 5: Solve for x
    x = 1,064,086,969.50/47,703
  6. Step 6: Final answer
    x = 22,306.50

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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.