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Finding the Fourth Proportional to 97,707.96, 134,840.04 and 55,265.64

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Solution

The fourth proportional to 97,707.96, 134,840.04 and 55,265.64 is: 76,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,707.96 : 134,840.04 = 55,265.64 : x
  2. Step 2: Convert to fraction form
    97,707.96/134,840.04 = 55,265.64/x
  3. Step 3: Cross multiply
    97,707.96x = 134,840.04 × 55,265.64
  4. Step 4: Simplify right side
    97,707.96x = 7,452,021,108.23
  5. Step 5: Solve for x
    x = 7,452,021,108.23/97,707.96
  6. Step 6: Final answer
    x = 76,268.31

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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.