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Finding the Fourth Proportional to 97,894.71, 135,097.47 and 55,453.23

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Solution

The fourth proportional to 97,894.71, 135,097.47 and 55,453.23 is: 76,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.71 : 135,097.47 = 55,453.23 : x
  2. Step 2: Convert to fraction form
    97,894.71/135,097.47 = 55,453.23/x
  3. Step 3: Cross multiply
    97,894.71x = 135,097.47 × 55,453.23
  4. Step 4: Simplify right side
    97,894.71x = 7,491,591,076.33
  5. Step 5: Solve for x
    x = 7,491,591,076.33/97,894.71
  6. Step 6: Final answer
    x = 76,527.03

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1.5x scale

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.