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Finding the Fourth Proportional to 97,214, 134,155.32 and 52,502

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Solution

The fourth proportional to 97,214, 134,155.32 and 52,502 is: 72,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 134,155.32 = 52,502 : x
  2. Step 2: Convert to fraction form
    97,214/134,155.32 = 52,502/x
  3. Step 3: Cross multiply
    97,214x = 134,155.32 × 52,502
  4. Step 4: Simplify right side
    97,214x = 7,043,422,610.64
  5. Step 5: Solve for x
    x = 7,043,422,610.64/97,214
  6. Step 6: Final answer
    x = 72,452.76

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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.