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Finding the Fourth Proportional to 85,610.10, 128,383.22 and 29,434.32

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Solution

The fourth proportional to 85,610.10, 128,383.22 and 29,434.32 is: 44,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,610.10 : 128,383.22 = 29,434.32 : x
  2. Step 2: Convert to fraction form
    85,610.10/128,383.22 = 29,434.32/x
  3. Step 3: Cross multiply
    85,610.10x = 128,383.22 × 29,434.32
  4. Step 4: Simplify right side
    85,610.10x = 3,778,872,780.11
  5. Step 5: Solve for x
    x = 3,778,872,780.11/85,610.10
  6. Step 6: Final answer
    x = 44,140.50

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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.