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Finding the Fourth Proportional to 47,537, 71,309.34 and 14,705

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Solution

The fourth proportional to 47,537, 71,309.34 and 14,705 is: 22,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537 : 71,309.34 = 14,705 : x
  2. Step 2: Convert to fraction form
    47,537/71,309.34 = 14,705/x
  3. Step 3: Cross multiply
    47,537x = 71,309.34 × 14,705
  4. Step 4: Simplify right side
    47,537x = 1,048,603,844.70
  5. Step 5: Solve for x
    x = 1,048,603,844.70/47,537
  6. Step 6: Final answer
    x = 22,058.69

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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.