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Finding the Fourth Proportional to 96,453.50, 133,102.14 and 54,009.90

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Solution

The fourth proportional to 96,453.50, 133,102.14 and 54,009.90 is: 74,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,453.50 : 133,102.14 = 54,009.90 : x
  2. Step 2: Convert to fraction form
    96,453.50/133,102.14 = 54,009.90/x
  3. Step 3: Cross multiply
    96,453.50x = 133,102.14 × 54,009.90
  4. Step 4: Simplify right side
    96,453.50x = 7,188,833,271.19
  5. Step 5: Solve for x
    x = 7,188,833,271.19/96,453.50
  6. Step 6: Final answer
    x = 74,531.60

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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.