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Finding the Fourth Proportional to 53,407.73, 80,104.64 and 13,967.88

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Solution

The fourth proportional to 53,407.73, 80,104.64 and 13,967.88 is: 20,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,407.73 : 80,104.64 = 13,967.88 : x
  2. Step 2: Convert to fraction form
    53,407.73/80,104.64 = 13,967.88/x
  3. Step 3: Cross multiply
    53,407.73x = 80,104.64 × 13,967.88
  4. Step 4: Simplify right side
    53,407.73x = 1,118,891,929.12
  5. Step 5: Solve for x
    x = 1,118,891,929.12/53,407.73
  6. Step 6: Final answer
    x = 20,950.00

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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.