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Finding the Fourth Proportional to 36,758.40, 55,121.40 and 14,564.40

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Solution

The fourth proportional to 36,758.40, 55,121.40 and 14,564.40 is: 21,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,758.40 : 55,121.40 = 14,564.40 : x
  2. Step 2: Convert to fraction form
    36,758.40/55,121.40 = 14,564.40/x
  3. Step 3: Cross multiply
    36,758.40x = 55,121.40 × 14,564.40
  4. Step 4: Simplify right side
    36,758.40x = 802,810,118.16
  5. Step 5: Solve for x
    x = 802,810,118.16/36,758.40
  6. Step 6: Final answer
    x = 21,840.18

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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.