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Finding the Fourth Proportional to 53,978.77, 80,968.02 and 14,535.92

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Solution

The fourth proportional to 53,978.77, 80,968.02 and 14,535.92 is: 21,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.77 : 80,968.02 = 14,535.92 : x
  2. Step 2: Convert to fraction form
    53,978.77/80,968.02 = 14,535.92/x
  3. Step 3: Cross multiply
    53,978.77x = 80,968.02 × 14,535.92
  4. Step 4: Simplify right side
    53,978.77x = 1,176,944,310.95
  5. Step 5: Solve for x
    x = 1,176,944,310.95/53,978.77
  6. Step 6: Final answer
    x = 21,803.84

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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.