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Finding the Fourth Proportional to 109,627.62, 164,342.52 and 39,457.50

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Solution

The fourth proportional to 109,627.62, 164,342.52 and 39,457.50 is: 59,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,627.62 : 164,342.52 = 39,457.50 : x
  2. Step 2: Convert to fraction form
    109,627.62/164,342.52 = 39,457.50/x
  3. Step 3: Cross multiply
    109,627.62x = 164,342.52 × 39,457.50
  4. Step 4: Simplify right side
    109,627.62x = 6,484,544,982.90
  5. Step 5: Solve for x
    x = 6,484,544,982.90/109,627.62
  6. Step 6: Final answer
    x = 59,150.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.