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Finding the Fourth Proportional to 106,312.96, 159,485 and 38,848.33

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Solution

The fourth proportional to 106,312.96, 159,485 and 38,848.33 is: 58,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312.96 : 159,485 = 38,848.33 : x
  2. Step 2: Convert to fraction form
    106,312.96/159,485 = 38,848.33/x
  3. Step 3: Cross multiply
    106,312.96x = 159,485 × 38,848.33
  4. Step 4: Simplify right side
    106,312.96x = 6,195,725,910.05
  5. Step 5: Solve for x
    x = 6,195,725,910.05/106,312.96
  6. Step 6: Final answer
    x = 58,278.18

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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.