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Finding the Fourth Proportional to 85,393.80, 128,013.90 and 55,825.80

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Solution

The fourth proportional to 85,393.80, 128,013.90 and 55,825.80 is: 83,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,393.80 : 128,013.90 = 55,825.80 : x
  2. Step 2: Convert to fraction form
    85,393.80/128,013.90 = 55,825.80/x
  3. Step 3: Cross multiply
    85,393.80x = 128,013.90 × 55,825.80
  4. Step 4: Simplify right side
    85,393.80x = 7,146,478,378.62
  5. Step 5: Solve for x
    x = 7,146,478,378.62/85,393.80
  6. Step 6: Final answer
    x = 83,688.49

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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.