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Finding the Fourth Proportional to 39,116.48, 53,980 and 22,120.48

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Solution

The fourth proportional to 39,116.48, 53,980 and 22,120.48 is: 30,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116.48 : 53,980 = 22,120.48 : x
  2. Step 2: Convert to fraction form
    39,116.48/53,980 = 22,120.48/x
  3. Step 3: Cross multiply
    39,116.48x = 53,980 × 22,120.48
  4. Step 4: Simplify right side
    39,116.48x = 1,194,063,510.40
  5. Step 5: Solve for x
    x = 1,194,063,510.40/39,116.48
  6. Step 6: Final answer
    x = 30,525.84

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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.