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Finding the Fourth Proportional to 97,585, 134,667.39 and 52,873

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Solution

The fourth proportional to 97,585, 134,667.39 and 52,873 is: 72,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,585 : 134,667.39 = 52,873 : x
  2. Step 2: Convert to fraction form
    97,585/134,667.39 = 52,873/x
  3. Step 3: Cross multiply
    97,585x = 134,667.39 × 52,873
  4. Step 4: Simplify right side
    97,585x = 7,120,268,911.47
  5. Step 5: Solve for x
    x = 7,120,268,911.47/97,585
  6. Step 6: Final answer
    x = 72,964.79

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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.