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Finding the Fourth Proportional to 96,546.40, 144,819.60 and 49,307.20

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Solution

The fourth proportional to 96,546.40, 144,819.60 and 49,307.20 is: 73,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.40 : 144,819.60 = 49,307.20 : x
  2. Step 2: Convert to fraction form
    96,546.40/144,819.60 = 49,307.20/x
  3. Step 3: Cross multiply
    96,546.40x = 144,819.60 × 49,307.20
  4. Step 4: Simplify right side
    96,546.40x = 7,140,648,981.12
  5. Step 5: Solve for x
    x = 7,140,648,981.12/96,546.40
  6. Step 6: Final answer
    x = 73,960.80

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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.