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Finding the Fourth Proportional to 77,404.80, 116,215.20 and 49,497.60

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Solution

The fourth proportional to 77,404.80, 116,215.20 and 49,497.60 is: 74,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404.80 : 116,215.20 = 49,497.60 : x
  2. Step 2: Convert to fraction form
    77,404.80/116,215.20 = 49,497.60/x
  3. Step 3: Cross multiply
    77,404.80x = 116,215.20 × 49,497.60
  4. Step 4: Simplify right side
    77,404.80x = 5,752,373,483.52
  5. Step 5: Solve for x
    x = 5,752,373,483.52/77,404.80
  6. Step 6: Final answer
    x = 74,315.46

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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.