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Finding the Fourth Proportional to 97,612.59, 146,405.88 and 27,497.37

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Solution

The fourth proportional to 97,612.59, 146,405.88 and 27,497.37 is: 41,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,612.59 : 146,405.88 = 27,497.37 : x
  2. Step 2: Convert to fraction form
    97,612.59/146,405.88 = 27,497.37/x
  3. Step 3: Cross multiply
    97,612.59x = 146,405.88 × 27,497.37
  4. Step 4: Simplify right side
    97,612.59x = 4,025,776,652.54
  5. Step 5: Solve for x
    x = 4,025,776,652.54/97,612.59
  6. Step 6: Final answer
    x = 41,242.39

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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.