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Finding the Fourth Proportional to 39,378, 59,084.40 and 20,653.56

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Solution

The fourth proportional to 39,378, 59,084.40 and 20,653.56 is: 30,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,378 : 59,084.40 = 20,653.56 : x
  2. Step 2: Convert to fraction form
    39,378/59,084.40 = 20,653.56/x
  3. Step 3: Cross multiply
    39,378x = 59,084.40 × 20,653.56
  4. Step 4: Simplify right side
    39,378x = 1,220,303,200.46
  5. Step 5: Solve for x
    x = 1,220,303,200.46/39,378
  6. Step 6: Final answer
    x = 30,989.47

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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.