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Finding the Fourth Proportional to 97,092, 145,387.44 and 57,676.32

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Solution

The fourth proportional to 97,092, 145,387.44 and 57,676.32 is: 86,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092 : 145,387.44 = 57,676.32 : x
  2. Step 2: Convert to fraction form
    97,092/145,387.44 = 57,676.32/x
  3. Step 3: Cross multiply
    97,092x = 145,387.44 × 57,676.32
  4. Step 4: Simplify right side
    97,092x = 8,385,412,513.42
  5. Step 5: Solve for x
    x = 8,385,412,513.42/97,092
  6. Step 6: Final answer
    x = 86,365.64

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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.