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Finding the Fourth Proportional to 55,496, 76,584.80 and 35,624

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Solution

The fourth proportional to 55,496, 76,584.80 and 35,624 is: 49,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 76,584.80 = 35,624 : x
  2. Step 2: Convert to fraction form
    55,496/76,584.80 = 35,624/x
  3. Step 3: Cross multiply
    55,496x = 76,584.80 × 35,624
  4. Step 4: Simplify right side
    55,496x = 2,728,256,915.20
  5. Step 5: Solve for x
    x = 2,728,256,915.20/55,496
  6. Step 6: Final answer
    x = 49,161.33

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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.