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Finding the Fourth Proportional to 106,895.46, 160,341.51 and 36,775.38

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Solution

The fourth proportional to 106,895.46, 160,341.51 and 36,775.38 is: 55,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,895.46 : 160,341.51 = 36,775.38 : x
  2. Step 2: Convert to fraction form
    106,895.46/160,341.51 = 36,775.38/x
  3. Step 3: Cross multiply
    106,895.46x = 160,341.51 × 36,775.38
  4. Step 4: Simplify right side
    106,895.46x = 5,896,619,960.02
  5. Step 5: Solve for x
    x = 5,896,619,960.02/106,895.46
  6. Step 6: Final answer
    x = 55,162.49

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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.