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Finding the Fourth Proportional to 85,434.86, 128,142.56 and 23,100.50

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Solution

The fourth proportional to 85,434.86, 128,142.56 and 23,100.50 is: 34,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.86 : 128,142.56 = 23,100.50 : x
  2. Step 2: Convert to fraction form
    85,434.86/128,142.56 = 23,100.50/x
  3. Step 3: Cross multiply
    85,434.86x = 128,142.56 × 23,100.50
  4. Step 4: Simplify right side
    85,434.86x = 2,960,157,207.28
  5. Step 5: Solve for x
    x = 2,960,157,207.28/85,434.86
  6. Step 6: Final answer
    x = 34,648.12

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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.