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Finding the Fourth Proportional to 105,004.62, 157,474.13 and 45,824.40

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Solution

The fourth proportional to 105,004.62, 157,474.13 and 45,824.40 is: 68,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.62 : 157,474.13 = 45,824.40 : x
  2. Step 2: Convert to fraction form
    105,004.62/157,474.13 = 45,824.40/x
  3. Step 3: Cross multiply
    105,004.62x = 157,474.13 × 45,824.40
  4. Step 4: Simplify right side
    105,004.62x = 7,216,157,293.65
  5. Step 5: Solve for x
    x = 7,216,157,293.65/105,004.62
  6. Step 6: Final answer
    x = 68,722.28

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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.