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Finding the Fourth Proportional to 37,536.58, 56,314.59 and 14,163.22

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Solution

The fourth proportional to 37,536.58, 56,314.59 and 14,163.22 is: 21,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536.58 : 56,314.59 = 14,163.22 : x
  2. Step 2: Convert to fraction form
    37,536.58/56,314.59 = 14,163.22/x
  3. Step 3: Cross multiply
    37,536.58x = 56,314.59 × 14,163.22
  4. Step 4: Simplify right side
    37,536.58x = 797,595,927.38
  5. Step 5: Solve for x
    x = 797,595,927.38/37,536.58
  6. Step 6: Final answer
    x = 21,248.50

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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.