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Finding the Fourth Proportional to 47,549.40, 65,618.12 and 26,330

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Solution

The fourth proportional to 47,549.40, 65,618.12 and 26,330 is: 36,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,549.40 : 65,618.12 = 26,330 : x
  2. Step 2: Convert to fraction form
    47,549.40/65,618.12 = 26,330/x
  3. Step 3: Cross multiply
    47,549.40x = 65,618.12 × 26,330
  4. Step 4: Simplify right side
    47,549.40x = 1,727,725,099.60
  5. Step 5: Solve for x
    x = 1,727,725,099.60/47,549.40
  6. Step 6: Final answer
    x = 36,335.37

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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.