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Finding the Fourth Proportional to 96,532.80, 144,928.80 and 61,627.20

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Solution

The fourth proportional to 96,532.80, 144,928.80 and 61,627.20 is: 92,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,532.80 : 144,928.80 = 61,627.20 : x
  2. Step 2: Convert to fraction form
    96,532.80/144,928.80 = 61,627.20/x
  3. Step 3: Cross multiply
    96,532.80x = 144,928.80 × 61,627.20
  4. Step 4: Simplify right side
    96,532.80x = 8,931,556,143.36
  5. Step 5: Solve for x
    x = 8,931,556,143.36/96,532.80
  6. Step 6: Final answer
    x = 92,523.54

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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.