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Finding the Fourth Proportional to 115,962.32, 173,968.31 and 35,998.53

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Solution

The fourth proportional to 115,962.32, 173,968.31 and 35,998.53 is: 54,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,962.32 : 173,968.31 = 35,998.53 : x
  2. Step 2: Convert to fraction form
    115,962.32/173,968.31 = 35,998.53/x
  3. Step 3: Cross multiply
    115,962.32x = 173,968.31 × 35,998.53
  4. Step 4: Simplify right side
    115,962.32x = 6,262,603,246.59
  5. Step 5: Solve for x
    x = 6,262,603,246.59/115,962.32
  6. Step 6: Final answer
    x = 54,005.50

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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.