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Finding the Fourth Proportional to 85,416.56, 128,128.08 and 23,087.08

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Solution

The fourth proportional to 85,416.56, 128,128.08 and 23,087.08 is: 34,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416.56 : 128,128.08 = 23,087.08 : x
  2. Step 2: Convert to fraction form
    85,416.56/128,128.08 = 23,087.08/x
  3. Step 3: Cross multiply
    85,416.56x = 128,128.08 × 23,087.08
  4. Step 4: Simplify right side
    85,416.56x = 2,958,103,233.21
  5. Step 5: Solve for x
    x = 2,958,103,233.21/85,416.56
  6. Step 6: Final answer
    x = 34,631.50

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Why These Related Problems?

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