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Finding the Fourth Proportional to 101,680.92, 152,534.14 and 30,592.49

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Solution

The fourth proportional to 101,680.92, 152,534.14 and 30,592.49 is: 45,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,680.92 : 152,534.14 = 30,592.49 : x
  2. Step 2: Convert to fraction form
    101,680.92/152,534.14 = 30,592.49/x
  3. Step 3: Cross multiply
    101,680.92x = 152,534.14 × 30,592.49
  4. Step 4: Simplify right side
    101,680.92x = 4,666,398,313.46
  5. Step 5: Solve for x
    x = 4,666,398,313.46/101,680.92
  6. Step 6: Final answer
    x = 45,892.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.