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Finding the Fourth Proportional to 53,978.63, 80,948.43 and 22,816.31

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Solution

The fourth proportional to 53,978.63, 80,948.43 and 22,816.31 is: 34,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.63 : 80,948.43 = 22,816.31 : x
  2. Step 2: Convert to fraction form
    53,978.63/80,948.43 = 22,816.31/x
  3. Step 3: Cross multiply
    53,978.63x = 80,948.43 × 22,816.31
  4. Step 4: Simplify right side
    53,978.63x = 1,846,944,068.15
  5. Step 5: Solve for x
    x = 1,846,944,068.15/53,978.63
  6. Step 6: Final answer
    x = 34,216.21

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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.