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Finding the Fourth Proportional to 29,802.48, 41,112 and 20,242.86

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Solution

The fourth proportional to 29,802.48, 41,112 and 20,242.86 is: 27,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.48 : 41,112 = 20,242.86 : x
  2. Step 2: Convert to fraction form
    29,802.48/41,112 = 20,242.86/x
  3. Step 3: Cross multiply
    29,802.48x = 41,112 × 20,242.86
  4. Step 4: Simplify right side
    29,802.48x = 832,224,460.32
  5. Step 5: Solve for x
    x = 832,224,460.32/29,802.48
  6. Step 6: Final answer
    x = 27,924.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.