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Finding the Fourth Proportional to 96,584, 133,286.40 and 56,325.68

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Solution

The fourth proportional to 96,584, 133,286.40 and 56,325.68 is: 77,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584 : 133,286.40 = 56,325.68 : x
  2. Step 2: Convert to fraction form
    96,584/133,286.40 = 56,325.68/x
  3. Step 3: Cross multiply
    96,584x = 133,286.40 × 56,325.68
  4. Step 4: Simplify right side
    96,584x = 7,507,447,114.75
  5. Step 5: Solve for x
    x = 7,507,447,114.75/96,584
  6. Step 6: Final answer
    x = 77,729.72

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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.