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Finding the Fourth Proportional to 108,097.60, 162,024.90 and 51,964.60

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Solution

The fourth proportional to 108,097.60, 162,024.90 and 51,964.60 is: 77,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,097.60 : 162,024.90 = 51,964.60 : x
  2. Step 2: Convert to fraction form
    108,097.60/162,024.90 = 51,964.60/x
  3. Step 3: Cross multiply
    108,097.60x = 162,024.90 × 51,964.60
  4. Step 4: Simplify right side
    108,097.60x = 8,419,559,118.54
  5. Step 5: Solve for x
    x = 8,419,559,118.54/108,097.60
  6. Step 6: Final answer
    x = 77,888.49

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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.