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Finding the Fourth Proportional to 110,527.60, 165,824.16 and 51,398.40

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Solution

The fourth proportional to 110,527.60, 165,824.16 and 51,398.40 is: 77,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,527.60 : 165,824.16 = 51,398.40 : x
  2. Step 2: Convert to fraction form
    110,527.60/165,824.16 = 51,398.40/x
  3. Step 3: Cross multiply
    110,527.60x = 165,824.16 × 51,398.40
  4. Step 4: Simplify right side
    110,527.60x = 8,523,096,505.34
  5. Step 5: Solve for x
    x = 8,523,096,505.34/110,527.60
  6. Step 6: Final answer
    x = 77,112.83

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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.