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Finding the Fourth Proportional to 31,267.50, 46,884.10 and 21,409.26

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Solution

The fourth proportional to 31,267.50, 46,884.10 and 21,409.26 is: 32,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.50 : 46,884.10 = 21,409.26 : x
  2. Step 2: Convert to fraction form
    31,267.50/46,884.10 = 21,409.26/x
  3. Step 3: Cross multiply
    31,267.50x = 46,884.10 × 21,409.26
  4. Step 4: Simplify right side
    31,267.50x = 1,003,753,886.77
  5. Step 5: Solve for x
    x = 1,003,753,886.77/31,267.50
  6. Step 6: Final answer
    x = 32,102.15

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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.