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Finding the Fourth Proportional to 50,986.65, 76,528.62 and 31,303.65

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Solution

The fourth proportional to 50,986.65, 76,528.62 and 31,303.65 is: 46,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.65 : 76,528.62 = 31,303.65 : x
  2. Step 2: Convert to fraction form
    50,986.65/76,528.62 = 31,303.65/x
  3. Step 3: Cross multiply
    50,986.65x = 76,528.62 × 31,303.65
  4. Step 4: Simplify right side
    50,986.65x = 2,395,625,135.46
  5. Step 5: Solve for x
    x = 2,395,625,135.46/50,986.65
  6. Step 6: Final answer
    x = 46,985.34

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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.