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Finding the Fourth Proportional to 36,526.76, 54,769.02 and 14,314.16

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Solution

The fourth proportional to 36,526.76, 54,769.02 and 14,314.16 is: 21,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,526.76 : 54,769.02 = 14,314.16 : x
  2. Step 2: Convert to fraction form
    36,526.76/54,769.02 = 14,314.16/x
  3. Step 3: Cross multiply
    36,526.76x = 54,769.02 × 14,314.16
  4. Step 4: Simplify right side
    36,526.76x = 783,972,515.32
  5. Step 5: Solve for x
    x = 783,972,515.32/36,526.76
  6. Step 6: Final answer
    x = 21,462.96

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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.