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Finding the Fourth Proportional to 101,006.81, 151,495.63 and 30,867.29

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Solution

The fourth proportional to 101,006.81, 151,495.63 and 30,867.29 is: 46,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,006.81 : 151,495.63 = 30,867.29 : x
  2. Step 2: Convert to fraction form
    101,006.81/151,495.63 = 30,867.29/x
  3. Step 3: Cross multiply
    101,006.81x = 151,495.63 × 30,867.29
  4. Step 4: Simplify right side
    101,006.81x = 4,676,258,710.30
  5. Step 5: Solve for x
    x = 4,676,258,710.30/101,006.81
  6. Step 6: Final answer
    x = 46,296.47

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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.