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Finding the Fourth Proportional to 44,501, 61,411.44 and 27,734

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Solution

The fourth proportional to 44,501, 61,411.44 and 27,734 is: 38,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,501 : 61,411.44 = 27,734 : x
  2. Step 2: Convert to fraction form
    44,501/61,411.44 = 27,734/x
  3. Step 3: Cross multiply
    44,501x = 61,411.44 × 27,734
  4. Step 4: Simplify right side
    44,501x = 1,703,184,876.96
  5. Step 5: Solve for x
    x = 1,703,184,876.96/44,501
  6. Step 6: Final answer
    x = 38,272.96

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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.