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Finding the Fourth Proportional to 65,029.28, 89,740.32 and 35,221.28

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Solution

The fourth proportional to 65,029.28, 89,740.32 and 35,221.28 is: 48,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.28 : 89,740.32 = 35,221.28 : x
  2. Step 2: Convert to fraction form
    65,029.28/89,740.32 = 35,221.28/x
  3. Step 3: Cross multiply
    65,029.28x = 89,740.32 × 35,221.28
  4. Step 4: Simplify right side
    65,029.28x = 3,160,768,938.01
  5. Step 5: Solve for x
    x = 3,160,768,938.01/65,029.28
  6. Step 6: Final answer
    x = 48,605.32

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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.