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Finding the Fourth Proportional to 65,010.30, 89,713.70 and 35,202.30

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Solution

The fourth proportional to 65,010.30, 89,713.70 and 35,202.30 is: 48,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,010.30 : 89,713.70 = 35,202.30 : x
  2. Step 2: Convert to fraction form
    65,010.30/89,713.70 = 35,202.30/x
  3. Step 3: Cross multiply
    65,010.30x = 89,713.70 × 35,202.30
  4. Step 4: Simplify right side
    65,010.30x = 3,158,128,581.51
  5. Step 5: Solve for x
    x = 3,158,128,581.51/65,010.30
  6. Step 6: Final answer
    x = 48,578.90

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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.