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Finding the Fourth Proportional to 85,406.40, 128,109.60 and 38,021.40

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Solution

The fourth proportional to 85,406.40, 128,109.60 and 38,021.40 is: 57,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.40 : 128,109.60 = 38,021.40 : x
  2. Step 2: Convert to fraction form
    85,406.40/128,109.60 = 38,021.40/x
  3. Step 3: Cross multiply
    85,406.40x = 128,109.60 × 38,021.40
  4. Step 4: Simplify right side
    85,406.40x = 4,870,906,345.44
  5. Step 5: Solve for x
    x = 4,870,906,345.44/85,406.40
  6. Step 6: Final answer
    x = 57,032.10

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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.