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Finding the Fourth Proportional to 106,807.50, 160,172.94 and 31,913.69

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Solution

The fourth proportional to 106,807.50, 160,172.94 and 31,913.69 is: 47,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.50 : 160,172.94 = 31,913.69 : x
  2. Step 2: Convert to fraction form
    106,807.50/160,172.94 = 31,913.69/x
  3. Step 3: Cross multiply
    106,807.50x = 160,172.94 × 31,913.69
  4. Step 4: Simplify right side
    106,807.50x = 5,111,708,872.36
  5. Step 5: Solve for x
    x = 5,111,708,872.36/106,807.50
  6. Step 6: Final answer
    x = 47,859.08

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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.