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Finding the Fourth Proportional to 97,023.68, 133,892.48 and 54,582.24

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Solution

The fourth proportional to 97,023.68, 133,892.48 and 54,582.24 is: 75,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,023.68 : 133,892.48 = 54,582.24 : x
  2. Step 2: Convert to fraction form
    97,023.68/133,892.48 = 54,582.24/x
  3. Step 3: Cross multiply
    97,023.68x = 133,892.48 × 54,582.24
  4. Step 4: Simplify right side
    97,023.68x = 7,308,151,204.64
  5. Step 5: Solve for x
    x = 7,308,151,204.64/97,023.68
  6. Step 6: Final answer
    x = 75,323.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.