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Finding the Fourth Proportional to 137,735.32, 206,531.32 and 48,975.96

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Solution

The fourth proportional to 137,735.32, 206,531.32 and 48,975.96 is: 73,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,735.32 : 206,531.32 = 48,975.96 : x
  2. Step 2: Convert to fraction form
    137,735.32/206,531.32 = 48,975.96/x
  3. Step 3: Cross multiply
    137,735.32x = 206,531.32 × 48,975.96
  4. Step 4: Simplify right side
    137,735.32x = 10,115,069,667.07
  5. Step 5: Solve for x
    x = 10,115,069,667.07/137,735.32
  6. Step 6: Final answer
    x = 73,438.46

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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.