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Finding the Fourth Proportional to 97,192.64, 134,125.26 and 54,764.84

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Solution

The fourth proportional to 97,192.64, 134,125.26 and 54,764.84 is: 75,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192.64 : 134,125.26 = 54,764.84 : x
  2. Step 2: Convert to fraction form
    97,192.64/134,125.26 = 54,764.84/x
  3. Step 3: Cross multiply
    97,192.64x = 134,125.26 × 54,764.84
  4. Step 4: Simplify right side
    97,192.64x = 7,345,348,403.86
  5. Step 5: Solve for x
    x = 7,345,348,403.86/97,192.64
  6. Step 6: Final answer
    x = 75,575.15

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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.