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Finding the Fourth Proportional to 36,548, 54,829.68 and 14,660

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Solution

The fourth proportional to 36,548, 54,829.68 and 14,660 is: 21,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,548 : 54,829.68 = 14,660 : x
  2. Step 2: Convert to fraction form
    36,548/54,829.68 = 14,660/x
  3. Step 3: Cross multiply
    36,548x = 54,829.68 × 14,660
  4. Step 4: Simplify right side
    36,548x = 803,803,108.80
  5. Step 5: Solve for x
    x = 803,803,108.80/36,548
  6. Step 6: Final answer
    x = 21,993.08

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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.