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Finding the Fourth Proportional to 46,484.40, 69,726.60 and 20,166.96

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Solution

The fourth proportional to 46,484.40, 69,726.60 and 20,166.96 is: 30,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,484.40 : 69,726.60 = 20,166.96 : x
  2. Step 2: Convert to fraction form
    46,484.40/69,726.60 = 20,166.96/x
  3. Step 3: Cross multiply
    46,484.40x = 69,726.60 × 20,166.96
  4. Step 4: Simplify right side
    46,484.40x = 1,406,173,553.14
  5. Step 5: Solve for x
    x = 1,406,173,553.14/46,484.40
  6. Step 6: Final answer
    x = 30,250.44

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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.