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Finding the Fourth Proportional to 62,507.70, 93,783.15 and 27,442.26

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Solution

The fourth proportional to 62,507.70, 93,783.15 and 27,442.26 is: 41,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,507.70 : 93,783.15 = 27,442.26 : x
  2. Step 2: Convert to fraction form
    62,507.70/93,783.15 = 27,442.26/x
  3. Step 3: Cross multiply
    62,507.70x = 93,783.15 × 27,442.26
  4. Step 4: Simplify right side
    62,507.70x = 2,573,621,585.92
  5. Step 5: Solve for x
    x = 2,573,621,585.92/62,507.70
  6. Step 6: Final answer
    x = 41,172.87

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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.