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Finding the Fourth Proportional to 106,131.92, 159,220.92 and 32,258

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Solution

The fourth proportional to 106,131.92, 159,220.92 and 32,258 is: 48,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,131.92 : 159,220.92 = 32,258 : x
  2. Step 2: Convert to fraction form
    106,131.92/159,220.92 = 32,258/x
  3. Step 3: Cross multiply
    106,131.92x = 159,220.92 × 32,258
  4. Step 4: Simplify right side
    106,131.92x = 5,136,148,437.36
  5. Step 5: Solve for x
    x = 5,136,148,437.36/106,131.92
  6. Step 6: Final answer
    x = 48,394.00

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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.