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Finding the Fourth Proportional to 97,702.96, 134,833.02 and 55,260.64

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Solution

The fourth proportional to 97,702.96, 134,833.02 and 55,260.64 is: 76,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,702.96 : 134,833.02 = 55,260.64 : x
  2. Step 2: Convert to fraction form
    97,702.96/134,833.02 = 55,260.64/x
  3. Step 3: Cross multiply
    97,702.96x = 134,833.02 × 55,260.64
  4. Step 4: Simplify right side
    97,702.96x = 7,450,958,978.33
  5. Step 5: Solve for x
    x = 7,450,958,978.33/97,702.96
  6. Step 6: Final answer
    x = 76,261.34

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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.