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Finding the Fourth Proportional to 101,008.56, 151,498.25 and 30,869.04

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Solution

The fourth proportional to 101,008.56, 151,498.25 and 30,869.04 is: 46,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,008.56 : 151,498.25 = 30,869.04 : x
  2. Step 2: Convert to fraction form
    101,008.56/151,498.25 = 30,869.04/x
  3. Step 3: Cross multiply
    101,008.56x = 151,498.25 × 30,869.04
  4. Step 4: Simplify right side
    101,008.56x = 4,676,605,539.18
  5. Step 5: Solve for x
    x = 4,676,605,539.18/101,008.56
  6. Step 6: Final answer
    x = 46,299.10

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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.