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Finding the Fourth Proportional to 85,523.84, 128,297.60 and 26,364.16

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Solution

The fourth proportional to 85,523.84, 128,297.60 and 26,364.16 is: 39,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,523.84 : 128,297.60 = 26,364.16 : x
  2. Step 2: Convert to fraction form
    85,523.84/128,297.60 = 26,364.16/x
  3. Step 3: Cross multiply
    85,523.84x = 128,297.60 × 26,364.16
  4. Step 4: Simplify right side
    85,523.84x = 3,382,458,454.02
  5. Step 5: Solve for x
    x = 3,382,458,454.02/85,523.84
  6. Step 6: Final answer
    x = 39,549.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.