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Finding the Fourth Proportional to 56,308.50, 84,462.75 and 14,755.50

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Solution

The fourth proportional to 56,308.50, 84,462.75 and 14,755.50 is: 22,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308.50 : 84,462.75 = 14,755.50 : x
  2. Step 2: Convert to fraction form
    56,308.50/84,462.75 = 14,755.50/x
  3. Step 3: Cross multiply
    56,308.50x = 84,462.75 × 14,755.50
  4. Step 4: Simplify right side
    56,308.50x = 1,246,290,107.63
  5. Step 5: Solve for x
    x = 1,246,290,107.63/56,308.50
  6. Step 6: Final answer
    x = 22,133.25

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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.