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Finding the Fourth Proportional to 85,616.40, 128,424.60 and 30,205.20

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Solution

The fourth proportional to 85,616.40, 128,424.60 and 30,205.20 is: 45,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,616.40 : 128,424.60 = 30,205.20 : x
  2. Step 2: Convert to fraction form
    85,616.40/128,424.60 = 30,205.20/x
  3. Step 3: Cross multiply
    85,616.40x = 128,424.60 × 30,205.20
  4. Step 4: Simplify right side
    85,616.40x = 3,879,090,727.92
  5. Step 5: Solve for x
    x = 3,879,090,727.92/85,616.40
  6. Step 6: Final answer
    x = 45,307.80

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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.