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Finding the Fourth Proportional to 97,093, 145,388.94 and 57,677.32

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Solution

The fourth proportional to 97,093, 145,388.94 and 57,677.32 is: 86,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093 : 145,388.94 = 57,677.32 : x
  2. Step 2: Convert to fraction form
    97,093/145,388.94 = 57,677.32/x
  3. Step 3: Cross multiply
    97,093x = 145,388.94 × 57,677.32
  4. Step 4: Simplify right side
    97,093x = 8,385,644,416.84
  5. Step 5: Solve for x
    x = 8,385,644,416.84/97,093
  6. Step 6: Final answer
    x = 86,367.14

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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.