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Finding the Fourth Proportional to 103,004.76, 154,470.42 and 46,797.78

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Solution

The fourth proportional to 103,004.76, 154,470.42 and 46,797.78 is: 70,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,004.76 : 154,470.42 = 46,797.78 : x
  2. Step 2: Convert to fraction form
    103,004.76/154,470.42 = 46,797.78/x
  3. Step 3: Cross multiply
    103,004.76x = 154,470.42 × 46,797.78
  4. Step 4: Simplify right side
    103,004.76x = 7,228,872,731.67
  5. Step 5: Solve for x
    x = 7,228,872,731.67/103,004.76
  6. Step 6: Final answer
    x = 70,179.99

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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.