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Finding the Fourth Proportional to 46,546.60, 69,822.60 and 13,269.10

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Solution

The fourth proportional to 46,546.60, 69,822.60 and 13,269.10 is: 19,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546.60 : 69,822.60 = 13,269.10 : x
  2. Step 2: Convert to fraction form
    46,546.60/69,822.60 = 13,269.10/x
  3. Step 3: Cross multiply
    46,546.60x = 69,822.60 × 13,269.10
  4. Step 4: Simplify right side
    46,546.60x = 926,483,061.66
  5. Step 5: Solve for x
    x = 926,483,061.66/46,546.60
  6. Step 6: Final answer
    x = 19,904.42

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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.