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Finding the Fourth Proportional to 103,070.68, 154,628.09 and 31,991.83

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Solution

The fourth proportional to 103,070.68, 154,628.09 and 31,991.83 is: 47,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,070.68 : 154,628.09 = 31,991.83 : x
  2. Step 2: Convert to fraction form
    103,070.68/154,628.09 = 31,991.83/x
  3. Step 3: Cross multiply
    103,070.68x = 154,628.09 × 31,991.83
  4. Step 4: Simplify right side
    103,070.68x = 4,946,835,568.50
  5. Step 5: Solve for x
    x = 4,946,835,568.50/103,070.68
  6. Step 6: Final answer
    x = 47,994.60

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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.