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Finding the Fourth Proportional to 36,751.88, 55,146.05 and 14,564.77

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Solution

The fourth proportional to 36,751.88, 55,146.05 and 14,564.77 is: 21,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,751.88 : 55,146.05 = 14,564.77 : x
  2. Step 2: Convert to fraction form
    36,751.88/55,146.05 = 14,564.77/x
  3. Step 3: Cross multiply
    36,751.88x = 55,146.05 × 14,564.77
  4. Step 4: Simplify right side
    36,751.88x = 803,189,534.66
  5. Step 5: Solve for x
    x = 803,189,534.66/36,751.88
  6. Step 6: Final answer
    x = 21,854.38

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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.