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Finding the Fourth Proportional to 53,833.14, 80,762.64 and 16,897.14

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Solution

The fourth proportional to 53,833.14, 80,762.64 and 16,897.14 is: 25,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,833.14 : 80,762.64 = 16,897.14 : x
  2. Step 2: Convert to fraction form
    53,833.14/80,762.64 = 16,897.14/x
  3. Step 3: Cross multiply
    53,833.14x = 80,762.64 × 16,897.14
  4. Step 4: Simplify right side
    53,833.14x = 1,364,657,634.85
  5. Step 5: Solve for x
    x = 1,364,657,634.85/53,833.14
  6. Step 6: Final answer
    x = 25,349.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.