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Finding the Fourth Proportional to 37,142.80, 51,261.60 and 21,223.60

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Solution

The fourth proportional to 37,142.80, 51,261.60 and 21,223.60 is: 29,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.80 : 51,261.60 = 21,223.60 : x
  2. Step 2: Convert to fraction form
    37,142.80/51,261.60 = 21,223.60/x
  3. Step 3: Cross multiply
    37,142.80x = 51,261.60 × 21,223.60
  4. Step 4: Simplify right side
    37,142.80x = 1,087,955,693.76
  5. Step 5: Solve for x
    x = 1,087,955,693.76/37,142.80
  6. Step 6: Final answer
    x = 29,291.16

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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.