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Finding the Fourth Proportional to 106,562.84, 159,842.86 and 30,663.36

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Solution

The fourth proportional to 106,562.84, 159,842.86 and 30,663.36 is: 45,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.84 : 159,842.86 = 30,663.36 : x
  2. Step 2: Convert to fraction form
    106,562.84/159,842.86 = 30,663.36/x
  3. Step 3: Cross multiply
    106,562.84x = 159,842.86 × 30,663.36
  4. Step 4: Simplify right side
    106,562.84x = 4,901,318,360.40
  5. Step 5: Solve for x
    x = 4,901,318,360.40/106,562.84
  6. Step 6: Final answer
    x = 45,994.63

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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.