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Finding the Fourth Proportional to 97,798, 134,961.36 and 53,086

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Solution

The fourth proportional to 97,798, 134,961.36 and 53,086 is: 73,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798 : 134,961.36 = 53,086 : x
  2. Step 2: Convert to fraction form
    97,798/134,961.36 = 53,086/x
  3. Step 3: Cross multiply
    97,798x = 134,961.36 × 53,086
  4. Step 4: Simplify right side
    97,798x = 7,164,558,756.96
  5. Step 5: Solve for x
    x = 7,164,558,756.96/97,798
  6. Step 6: Final answer
    x = 73,258.75

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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.