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Finding the Fourth Proportional to 65,038.20, 89,752.69 and 35,230.20

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Solution

The fourth proportional to 65,038.20, 89,752.69 and 35,230.20 is: 48,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.20 : 89,752.69 = 35,230.20 : x
  2. Step 2: Convert to fraction form
    65,038.20/89,752.69 = 35,230.20/x
  3. Step 3: Cross multiply
    65,038.20x = 89,752.69 × 35,230.20
  4. Step 4: Simplify right side
    65,038.20x = 3,162,005,219.24
  5. Step 5: Solve for x
    x = 3,162,005,219.24/65,038.20
  6. Step 6: Final answer
    x = 48,617.66

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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.