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Finding the Fourth Proportional to 97,879.59, 146,802.78 and 27,742.50

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Solution

The fourth proportional to 97,879.59, 146,802.78 and 27,742.50 is: 41,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,879.59 : 146,802.78 = 27,742.50 : x
  2. Step 2: Convert to fraction form
    97,879.59/146,802.78 = 27,742.50/x
  3. Step 3: Cross multiply
    97,879.59x = 146,802.78 × 27,742.50
  4. Step 4: Simplify right side
    97,879.59x = 4,072,676,124.15
  5. Step 5: Solve for x
    x = 4,072,676,124.15/97,879.59
  6. Step 6: Final answer
    x = 41,609.04

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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.