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Finding the Fourth Proportional to 43,098.96, 59,457.72 and 26,322

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Solution

The fourth proportional to 43,098.96, 59,457.72 and 26,322 is: 36,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.96 : 59,457.72 = 26,322 : x
  2. Step 2: Convert to fraction form
    43,098.96/59,457.72 = 26,322/x
  3. Step 3: Cross multiply
    43,098.96x = 59,457.72 × 26,322
  4. Step 4: Simplify right side
    43,098.96x = 1,565,046,105.84
  5. Step 5: Solve for x
    x = 1,565,046,105.84/43,098.96
  6. Step 6: Final answer
    x = 36,312.85

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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.