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Finding the Fourth Proportional to 97,792.60, 146,591.70 and 45,110.20

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Solution

The fourth proportional to 97,792.60, 146,591.70 and 45,110.20 is: 67,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,792.60 : 146,591.70 = 45,110.20 : x
  2. Step 2: Convert to fraction form
    97,792.60/146,591.70 = 45,110.20/x
  3. Step 3: Cross multiply
    97,792.60x = 146,591.70 × 45,110.20
  4. Step 4: Simplify right side
    97,792.60x = 6,612,780,905.34
  5. Step 5: Solve for x
    x = 6,612,780,905.34/97,792.60
  6. Step 6: Final answer
    x = 67,620.46

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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.