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Finding the Fourth Proportional to 116,023.50, 174,035.40 and 31,784.40

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Solution

The fourth proportional to 116,023.50, 174,035.40 and 31,784.40 is: 47,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,023.50 : 174,035.40 = 31,784.40 : x
  2. Step 2: Convert to fraction form
    116,023.50/174,035.40 = 31,784.40/x
  3. Step 3: Cross multiply
    116,023.50x = 174,035.40 × 31,784.40
  4. Step 4: Simplify right side
    116,023.50x = 5,531,610,767.76
  5. Step 5: Solve for x
    x = 5,531,610,767.76/116,023.50
  6. Step 6: Final answer
    x = 47,676.64

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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.