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Finding the Fourth Proportional to 98,128, 135,434.31 and 57,839.41

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Solution

The fourth proportional to 98,128, 135,434.31 and 57,839.41 is: 79,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,128 : 135,434.31 = 57,839.41 : x
  2. Step 2: Convert to fraction form
    98,128/135,434.31 = 57,839.41/x
  3. Step 3: Cross multiply
    98,128x = 135,434.31 × 57,839.41
  4. Step 4: Simplify right side
    98,128x = 7,833,440,584.16
  5. Step 5: Solve for x
    x = 7,833,440,584.16/98,128
  6. Step 6: Final answer
    x = 79,828.80

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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.