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Finding the Fourth Proportional to 50,854.50, 76,281.75 and 19,689.75

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Solution

The fourth proportional to 50,854.50, 76,281.75 and 19,689.75 is: 29,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.50 : 76,281.75 = 19,689.75 : x
  2. Step 2: Convert to fraction form
    50,854.50/76,281.75 = 19,689.75/x
  3. Step 3: Cross multiply
    50,854.50x = 76,281.75 × 19,689.75
  4. Step 4: Simplify right side
    50,854.50x = 1,501,968,587.06
  5. Step 5: Solve for x
    x = 1,501,968,587.06/50,854.50
  6. Step 6: Final answer
    x = 29,534.63

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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.