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Finding the Fourth Proportional to 65,068, 89,793.84 and 35,260

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Solution

The fourth proportional to 65,068, 89,793.84 and 35,260 is: 48,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,068 : 89,793.84 = 35,260 : x
  2. Step 2: Convert to fraction form
    65,068/89,793.84 = 35,260/x
  3. Step 3: Cross multiply
    65,068x = 89,793.84 × 35,260
  4. Step 4: Simplify right side
    65,068x = 3,166,130,798.40
  5. Step 5: Solve for x
    x = 3,166,130,798.40/65,068
  6. Step 6: Final answer
    x = 48,658.80

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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.