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Finding the Fourth Proportional to 37,952.82, 56,889.54 and 12,984.48

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Solution

The fourth proportional to 37,952.82, 56,889.54 and 12,984.48 is: 19,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952.82 : 56,889.54 = 12,984.48 : x
  2. Step 2: Convert to fraction form
    37,952.82/56,889.54 = 12,984.48/x
  3. Step 3: Cross multiply
    37,952.82x = 56,889.54 × 12,984.48
  4. Step 4: Simplify right side
    37,952.82x = 738,681,094.34
  5. Step 5: Solve for x
    x = 738,681,094.34/37,952.82
  6. Step 6: Final answer
    x = 19,463.14

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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.