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Finding the Fourth Proportional to 106,055.99, 159,111.32 and 31,178.58

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Solution

The fourth proportional to 106,055.99, 159,111.32 and 31,178.58 is: 46,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,055.99 : 159,111.32 = 31,178.58 : x
  2. Step 2: Convert to fraction form
    106,055.99/159,111.32 = 31,178.58/x
  3. Step 3: Cross multiply
    106,055.99x = 159,111.32 × 31,178.58
  4. Step 4: Simplify right side
    106,055.99x = 4,960,865,019.53
  5. Step 5: Solve for x
    x = 4,960,865,019.53/106,055.99
  6. Step 6: Final answer
    x = 46,775.91

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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.