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Finding the Fourth Proportional to 50,986.51, 76,528.43 and 31,303.51

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Solution

The fourth proportional to 50,986.51, 76,528.43 and 31,303.51 is: 46,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986.51 : 76,528.43 = 31,303.51 : x
  2. Step 2: Convert to fraction form
    50,986.51/76,528.43 = 31,303.51/x
  3. Step 3: Cross multiply
    50,986.51x = 76,528.43 × 31,303.51
  4. Step 4: Simplify right side
    50,986.51x = 2,395,608,473.79
  5. Step 5: Solve for x
    x = 2,395,608,473.79/50,986.51
  6. Step 6: Final answer
    x = 46,985.14

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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.