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Finding the Fourth Proportional to 105,169.01, 157,690.09 and 49,021.72

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Solution

The fourth proportional to 105,169.01, 157,690.09 and 49,021.72 is: 73,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,169.01 : 157,690.09 = 49,021.72 : x
  2. Step 2: Convert to fraction form
    105,169.01/157,690.09 = 49,021.72/x
  3. Step 3: Cross multiply
    105,169.01x = 157,690.09 × 49,021.72
  4. Step 4: Simplify right side
    105,169.01x = 7,730,238,921.98
  5. Step 5: Solve for x
    x = 7,730,238,921.98/105,169.01
  6. Step 6: Final answer
    x = 73,503.01

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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.