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Finding the Fourth Proportional to 44,502, 61,412.82 and 27,735

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Solution

The fourth proportional to 44,502, 61,412.82 and 27,735 is: 38,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,502 : 61,412.82 = 27,735 : x
  2. Step 2: Convert to fraction form
    44,502/61,412.82 = 27,735/x
  3. Step 3: Cross multiply
    44,502x = 61,412.82 × 27,735
  4. Step 4: Simplify right side
    44,502x = 1,703,284,562.70
  5. Step 5: Solve for x
    x = 1,703,284,562.70/44,502
  6. Step 6: Final answer
    x = 38,274.34

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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.