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Finding the Fourth Proportional to 116,265.96, 174,428.40 and 33,159.96

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Solution

The fourth proportional to 116,265.96, 174,428.40 and 33,159.96 is: 49,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,265.96 : 174,428.40 = 33,159.96 : x
  2. Step 2: Convert to fraction form
    116,265.96/174,428.40 = 33,159.96/x
  3. Step 3: Cross multiply
    116,265.96x = 174,428.40 × 33,159.96
  4. Step 4: Simplify right side
    116,265.96x = 5,784,038,766.86
  5. Step 5: Solve for x
    x = 5,784,038,766.86/116,265.96
  6. Step 6: Final answer
    x = 49,748.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.