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Finding the Fourth Proportional to 65,132.69, 89,900.78 and 38,283.80

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Solution

The fourth proportional to 65,132.69, 89,900.78 and 38,283.80 is: 52,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,132.69 : 89,900.78 = 38,283.80 : x
  2. Step 2: Convert to fraction form
    65,132.69/89,900.78 = 38,283.80/x
  3. Step 3: Cross multiply
    65,132.69x = 89,900.78 × 38,283.80
  4. Step 4: Simplify right side
    65,132.69x = 3,441,742,840.44
  5. Step 5: Solve for x
    x = 3,441,742,840.44/65,132.69
  6. Step 6: Final answer
    x = 52,842.02

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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.