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Finding the Fourth Proportional to 77,242.96, 115,851.48 and 21,826

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Solution

The fourth proportional to 77,242.96, 115,851.48 and 21,826 is: 32,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.96 : 115,851.48 = 21,826 : x
  2. Step 2: Convert to fraction form
    77,242.96/115,851.48 = 21,826/x
  3. Step 3: Cross multiply
    77,242.96x = 115,851.48 × 21,826
  4. Step 4: Simplify right side
    77,242.96x = 2,528,574,402.48
  5. Step 5: Solve for x
    x = 2,528,574,402.48/77,242.96
  6. Step 6: Final answer
    x = 32,735.34

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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.