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Finding the Fourth Proportional to 97,293.78, 134,265.36 and 52,581.78

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Solution

The fourth proportional to 97,293.78, 134,265.36 and 52,581.78 is: 72,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,293.78 : 134,265.36 = 52,581.78 : x
  2. Step 2: Convert to fraction form
    97,293.78/134,265.36 = 52,581.78/x
  3. Step 3: Cross multiply
    97,293.78x = 134,265.36 × 52,581.78
  4. Step 4: Simplify right side
    97,293.78x = 7,059,911,621.14
  5. Step 5: Solve for x
    x = 7,059,911,621.14/97,293.78
  6. Step 6: Final answer
    x = 72,562.83

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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.