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Finding the Fourth Proportional to 106,497.18, 159,699.16 and 39,890.61

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Solution

The fourth proportional to 106,497.18, 159,699.16 and 39,890.61 is: 59,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.18 : 159,699.16 = 39,890.61 : x
  2. Step 2: Convert to fraction form
    106,497.18/159,699.16 = 39,890.61/x
  3. Step 3: Cross multiply
    106,497.18x = 159,699.16 × 39,890.61
  4. Step 4: Simplify right side
    106,497.18x = 6,370,496,958.75
  5. Step 5: Solve for x
    x = 6,370,496,958.75/106,497.18
  6. Step 6: Final answer
    x = 59,818.46

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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.