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Finding the Fourth Proportional to 97,087.96, 133,979.16 and 54,646.12

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Solution

The fourth proportional to 97,087.96, 133,979.16 and 54,646.12 is: 75,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,087.96 : 133,979.16 = 54,646.12 : x
  2. Step 2: Convert to fraction form
    97,087.96/133,979.16 = 54,646.12/x
  3. Step 3: Cross multiply
    97,087.96x = 133,979.16 × 54,646.12
  4. Step 4: Simplify right side
    97,087.96x = 7,321,441,254.86
  5. Step 5: Solve for x
    x = 7,321,441,254.86/97,087.96
  6. Step 6: Final answer
    x = 75,410.39

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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.