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Finding the Fourth Proportional to 50,656.74, 75,985.14 and 13,216.77

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Solution

The fourth proportional to 50,656.74, 75,985.14 and 13,216.77 is: 19,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656.74 : 75,985.14 = 13,216.77 : x
  2. Step 2: Convert to fraction form
    50,656.74/75,985.14 = 13,216.77/x
  3. Step 3: Cross multiply
    50,656.74x = 75,985.14 × 13,216.77
  4. Step 4: Simplify right side
    50,656.74x = 1,004,278,118.80
  5. Step 5: Solve for x
    x = 1,004,278,118.80/50,656.74
  6. Step 6: Final answer
    x = 19,825.16

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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.