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Finding the Fourth Proportional to 27,802.40, 41,703.60 and 25,858.40

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Solution

The fourth proportional to 27,802.40, 41,703.60 and 25,858.40 is: 38,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.40 : 41,703.60 = 25,858.40 : x
  2. Step 2: Convert to fraction form
    27,802.40/41,703.60 = 25,858.40/x
  3. Step 3: Cross multiply
    27,802.40x = 41,703.60 × 25,858.40
  4. Step 4: Simplify right side
    27,802.40x = 1,078,388,370.24
  5. Step 5: Solve for x
    x = 1,078,388,370.24/27,802.40
  6. Step 6: Final answer
    x = 38,787.60

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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.