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Finding the Fourth Proportional to 96,765.54, 145,189.46 and 46,882.80

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Solution

The fourth proportional to 96,765.54, 145,189.46 and 46,882.80 is: 70,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765.54 : 145,189.46 = 46,882.80 : x
  2. Step 2: Convert to fraction form
    96,765.54/145,189.46 = 46,882.80/x
  3. Step 3: Cross multiply
    96,765.54x = 145,189.46 × 46,882.80
  4. Step 4: Simplify right side
    96,765.54x = 6,806,888,532.50
  5. Step 5: Solve for x
    x = 6,806,888,532.50/96,765.54
  6. Step 6: Final answer
    x = 70,344.14

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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.