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Finding the Fourth Proportional to 116,050.40, 174,056.90 and 31,790.87

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Solution

The fourth proportional to 116,050.40, 174,056.90 and 31,790.87 is: 47,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,050.40 : 174,056.90 = 31,790.87 : x
  2. Step 2: Convert to fraction form
    116,050.40/174,056.90 = 31,790.87/x
  3. Step 3: Cross multiply
    116,050.40x = 174,056.90 × 31,790.87
  4. Step 4: Simplify right side
    116,050.40x = 5,533,419,410.22
  5. Step 5: Solve for x
    x = 5,533,419,410.22/116,050.40
  6. Step 6: Final answer
    x = 47,681.18

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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.