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Finding the Fourth Proportional to 36,456.64, 54,689.51 and 14,267.15

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Solution

The fourth proportional to 36,456.64, 54,689.51 and 14,267.15 is: 21,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456.64 : 54,689.51 = 14,267.15 : x
  2. Step 2: Convert to fraction form
    36,456.64/54,689.51 = 14,267.15/x
  3. Step 3: Cross multiply
    36,456.64x = 54,689.51 × 14,267.15
  4. Step 4: Simplify right side
    36,456.64x = 780,263,204.82
  5. Step 5: Solve for x
    x = 780,263,204.82/36,456.64
  6. Step 6: Final answer
    x = 21,402.50

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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.