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Finding the Fourth Proportional to 97,149, 134,066.02 and 54,708.24

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Solution

The fourth proportional to 97,149, 134,066.02 and 54,708.24 is: 75,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149 : 134,066.02 = 54,708.24 : x
  2. Step 2: Convert to fraction form
    97,149/134,066.02 = 54,708.24/x
  3. Step 3: Cross multiply
    97,149x = 134,066.02 × 54,708.24
  4. Step 4: Simplify right side
    97,149x = 7,334,515,998.00
  5. Step 5: Solve for x
    x = 7,334,515,998.00/97,149
  6. Step 6: Final answer
    x = 75,497.60

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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.