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Finding the Fourth Proportional to 44,500, 61,410.06 and 27,733

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Solution

The fourth proportional to 44,500, 61,410.06 and 27,733 is: 38,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,500 : 61,410.06 = 27,733 : x
  2. Step 2: Convert to fraction form
    44,500/61,410.06 = 27,733/x
  3. Step 3: Cross multiply
    44,500x = 61,410.06 × 27,733
  4. Step 4: Simplify right side
    44,500x = 1,703,085,193.98
  5. Step 5: Solve for x
    x = 1,703,085,193.98/44,500
  6. Step 6: Final answer
    x = 38,271.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.