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Finding the Fourth Proportional to 106,911.16, 160,444.50 and 47,813.56

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Solution

The fourth proportional to 106,911.16, 160,444.50 and 47,813.56 is: 71,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.16 : 160,444.50 = 47,813.56 : x
  2. Step 2: Convert to fraction form
    106,911.16/160,444.50 = 47,813.56/x
  3. Step 3: Cross multiply
    106,911.16x = 160,444.50 × 47,813.56
  4. Step 4: Simplify right side
    106,911.16x = 7,671,422,727.42
  5. Step 5: Solve for x
    x = 7,671,422,727.42/106,911.16
  6. Step 6: Final answer
    x = 71,755.12

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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.