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Finding the Fourth Proportional to 57,807.31, 86,710.97 and 16,254.31

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Solution

The fourth proportional to 57,807.31, 86,710.97 and 16,254.31 is: 24,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.31 : 86,710.97 = 16,254.31 : x
  2. Step 2: Convert to fraction form
    57,807.31/86,710.97 = 16,254.31/x
  3. Step 3: Cross multiply
    57,807.31x = 86,710.97 × 16,254.31
  4. Step 4: Simplify right side
    57,807.31x = 1,409,426,986.78
  5. Step 5: Solve for x
    x = 1,409,426,986.78/57,807.31
  6. Step 6: Final answer
    x = 24,381.47

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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.