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Finding the Fourth Proportional to 106,565.84, 159,852.20 and 55,952.05

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Solution

The fourth proportional to 106,565.84, 159,852.20 and 55,952.05 is: 83,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.84 : 159,852.20 = 55,952.05 : x
  2. Step 2: Convert to fraction form
    106,565.84/159,852.20 = 55,952.05/x
  3. Step 3: Cross multiply
    106,565.84x = 159,852.20 × 55,952.05
  4. Step 4: Simplify right side
    106,565.84x = 8,944,057,607.62
  5. Step 5: Solve for x
    x = 8,944,057,607.62/106,565.84
  6. Step 6: Final answer
    x = 83,929.87

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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.