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Finding the Fourth Proportional to 47,114, 70,696.92 and 22,490

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Solution

The fourth proportional to 47,114, 70,696.92 and 22,490 is: 33,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114 : 70,696.92 = 22,490 : x
  2. Step 2: Convert to fraction form
    47,114/70,696.92 = 22,490/x
  3. Step 3: Cross multiply
    47,114x = 70,696.92 × 22,490
  4. Step 4: Simplify right side
    47,114x = 1,589,973,730.80
  5. Step 5: Solve for x
    x = 1,589,973,730.80/47,114
  6. Step 6: Final answer
    x = 33,747.37

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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.