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Finding the Fourth Proportional to 105,004.96, 157,611.12 and 45,881.44

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Solution

The fourth proportional to 105,004.96, 157,611.12 and 45,881.44 is: 68,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.96 : 157,611.12 = 45,881.44 : x
  2. Step 2: Convert to fraction form
    105,004.96/157,611.12 = 45,881.44/x
  3. Step 3: Cross multiply
    105,004.96x = 157,611.12 × 45,881.44
  4. Step 4: Simplify right side
    105,004.96x = 7,231,425,145.61
  5. Step 5: Solve for x
    x = 7,231,425,145.61/105,004.96
  6. Step 6: Final answer
    x = 68,867.46

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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.