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Finding the Fourth Proportional to 97,293, 134,264.34 and 52,581

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Solution

The fourth proportional to 97,293, 134,264.34 and 52,581 is: 72,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,293 : 134,264.34 = 52,581 : x
  2. Step 2: Convert to fraction form
    97,293/134,264.34 = 52,581/x
  3. Step 3: Cross multiply
    97,293x = 134,264.34 × 52,581
  4. Step 4: Simplify right side
    97,293x = 7,059,753,261.54
  5. Step 5: Solve for x
    x = 7,059,753,261.54/97,293
  6. Step 6: Final answer
    x = 72,561.78

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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.