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Finding the Fourth Proportional to 65,098, 89,835.24 and 35,290

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Solution

The fourth proportional to 65,098, 89,835.24 and 35,290 is: 48,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098 : 89,835.24 = 35,290 : x
  2. Step 2: Convert to fraction form
    65,098/89,835.24 = 35,290/x
  3. Step 3: Cross multiply
    65,098x = 89,835.24 × 35,290
  4. Step 4: Simplify right side
    65,098x = 3,170,285,619.60
  5. Step 5: Solve for x
    x = 3,170,285,619.60/65,098
  6. Step 6: Final answer
    x = 48,700.20

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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.