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Finding the Fourth Proportional to 96,374.60, 144,464.70 and 43,821.80

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Solution

The fourth proportional to 96,374.60, 144,464.70 and 43,821.80 is: 65,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,374.60 : 144,464.70 = 43,821.80 : x
  2. Step 2: Convert to fraction form
    96,374.60/144,464.70 = 43,821.80/x
  3. Step 3: Cross multiply
    96,374.60x = 144,464.70 × 43,821.80
  4. Step 4: Simplify right side
    96,374.60x = 6,330,703,190.46
  5. Step 5: Solve for x
    x = 6,330,703,190.46/96,374.60
  6. Step 6: Final answer
    x = 65,688.50

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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.