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Finding the Fourth Proportional to 65,048.02, 89,766.24 and 35,240.02

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Solution

The fourth proportional to 65,048.02, 89,766.24 and 35,240.02 is: 48,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,048.02 : 89,766.24 = 35,240.02 : x
  2. Step 2: Convert to fraction form
    65,048.02/89,766.24 = 35,240.02/x
  3. Step 3: Cross multiply
    65,048.02x = 89,766.24 × 35,240.02
  4. Step 4: Simplify right side
    65,048.02x = 3,163,364,092.92
  5. Step 5: Solve for x
    x = 3,163,364,092.92/65,048.02
  6. Step 6: Final answer
    x = 48,631.21

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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.