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Finding the Fourth Proportional to 47,546.34, 65,614.98 and 26,037

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Solution

The fourth proportional to 47,546.34, 65,614.98 and 26,037 is: 35,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,546.34 : 65,614.98 = 26,037 : x
  2. Step 2: Convert to fraction form
    47,546.34/65,614.98 = 26,037/x
  3. Step 3: Cross multiply
    47,546.34x = 65,614.98 × 26,037
  4. Step 4: Simplify right side
    47,546.34x = 1,708,417,234.26
  5. Step 5: Solve for x
    x = 1,708,417,234.26/47,546.34
  6. Step 6: Final answer
    x = 35,931.62

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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.