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Finding the Fourth Proportional to 97,712.64, 134,844.16 and 53,000.96

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Solution

The fourth proportional to 97,712.64, 134,844.16 and 53,000.96 is: 73,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.64 : 134,844.16 = 53,000.96 : x
  2. Step 2: Convert to fraction form
    97,712.64/134,844.16 = 53,000.96/x
  3. Step 3: Cross multiply
    97,712.64x = 134,844.16 × 53,000.96
  4. Step 4: Simplify right side
    97,712.64x = 7,146,869,930.39
  5. Step 5: Solve for x
    x = 7,146,869,930.39/97,712.64
  6. Step 6: Final answer
    x = 73,141.71

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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.