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Finding the Fourth Proportional to 97,597, 134,684.02 and 52,885

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Solution

The fourth proportional to 97,597, 134,684.02 and 52,885 is: 72,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,597 : 134,684.02 = 52,885 : x
  2. Step 2: Convert to fraction form
    97,597/134,684.02 = 52,885/x
  3. Step 3: Cross multiply
    97,597x = 134,684.02 × 52,885
  4. Step 4: Simplify right side
    97,597x = 7,122,764,397.70
  5. Step 5: Solve for x
    x = 7,122,764,397.70/97,597
  6. Step 6: Final answer
    x = 72,981.39

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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.