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Finding the Fourth Proportional to 85,301.89, 127,898.08 and 35,416.42

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Solution

The fourth proportional to 85,301.89, 127,898.08 and 35,416.42 is: 53,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301.89 : 127,898.08 = 35,416.42 : x
  2. Step 2: Convert to fraction form
    85,301.89/127,898.08 = 35,416.42/x
  3. Step 3: Cross multiply
    85,301.89x = 127,898.08 × 35,416.42
  4. Step 4: Simplify right side
    85,301.89x = 4,529,692,118.47
  5. Step 5: Solve for x
    x = 4,529,692,118.47/85,301.89
  6. Step 6: Final answer
    x = 53,101.90

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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.