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Finding the Fourth Proportional to 97,575.24, 134,654 and 52,863.24

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Solution

The fourth proportional to 97,575.24, 134,654 and 52,863.24 is: 72,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,575.24 : 134,654 = 52,863.24 : x
  2. Step 2: Convert to fraction form
    97,575.24/134,654 = 52,863.24/x
  3. Step 3: Cross multiply
    97,575.24x = 134,654 × 52,863.24
  4. Step 4: Simplify right side
    97,575.24x = 7,118,246,718.96
  5. Step 5: Solve for x
    x = 7,118,246,718.96/97,575.24
  6. Step 6: Final answer
    x = 72,951.36

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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.