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Finding the Fourth Proportional to 36,700.96, 55,051.44 and 15,924

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Solution

The fourth proportional to 36,700.96, 55,051.44 and 15,924 is: 23,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.96 : 55,051.44 = 15,924 : x
  2. Step 2: Convert to fraction form
    36,700.96/55,051.44 = 15,924/x
  3. Step 3: Cross multiply
    36,700.96x = 55,051.44 × 15,924
  4. Step 4: Simplify right side
    36,700.96x = 876,639,130.56
  5. Step 5: Solve for x
    x = 876,639,130.56/36,700.96
  6. Step 6: Final answer
    x = 23,886.00

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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.