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Finding the Fourth Proportional to 44,477, 61,378.28 and 27,710

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Solution

The fourth proportional to 44,477, 61,378.28 and 27,710 is: 38,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,477 : 61,378.28 = 27,710 : x
  2. Step 2: Convert to fraction form
    44,477/61,378.28 = 27,710/x
  3. Step 3: Cross multiply
    44,477x = 61,378.28 × 27,710
  4. Step 4: Simplify right side
    44,477x = 1,700,792,138.80
  5. Step 5: Solve for x
    x = 1,700,792,138.80/44,477
  6. Step 6: Final answer
    x = 38,239.81

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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.