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Finding the Fourth Proportional to 36,497.16, 54,702 and 14,296.68

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Solution

The fourth proportional to 36,497.16, 54,702 and 14,296.68 is: 21,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497.16 : 54,702 = 14,296.68 : x
  2. Step 2: Convert to fraction form
    36,497.16/54,702 = 14,296.68/x
  3. Step 3: Cross multiply
    36,497.16x = 54,702 × 14,296.68
  4. Step 4: Simplify right side
    36,497.16x = 782,056,989.36
  5. Step 5: Solve for x
    x = 782,056,989.36/36,497.16
  6. Step 6: Final answer
    x = 21,427.89

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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.