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Finding the Fourth Proportional to 75,782.77, 104,589.98 and 63,014.00

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Solution

The fourth proportional to 75,782.77, 104,589.98 and 63,014.00 is: 86,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782.77 : 104,589.98 = 63,014.00 : x
  2. Step 2: Convert to fraction form
    75,782.77/104,589.98 = 63,014.00/x
  3. Step 3: Cross multiply
    75,782.77x = 104,589.98 × 63,014.00
  4. Step 4: Simplify right side
    75,782.77x = 6,590,633,340.77
  5. Step 5: Solve for x
    x = 6,590,633,340.77/75,782.77
  6. Step 6: Final answer
    x = 86,967.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.