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Finding the Fourth Proportional to 97,263.34, 134,224.44 and 54,821.86

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Solution

The fourth proportional to 97,263.34, 134,224.44 and 54,821.86 is: 75,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,263.34 : 134,224.44 = 54,821.86 : x
  2. Step 2: Convert to fraction form
    97,263.34/134,224.44 = 54,821.86/x
  3. Step 3: Cross multiply
    97,263.34x = 134,224.44 × 54,821.86
  4. Step 4: Simplify right side
    97,263.34x = 7,358,433,458.26
  5. Step 5: Solve for x
    x = 7,358,433,458.26/97,263.34
  6. Step 6: Final answer
    x = 75,654.75

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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.