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Finding the Fourth Proportional to 51,765.56, 77,650.07 and 14,322.50

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Solution

The fourth proportional to 51,765.56, 77,650.07 and 14,322.50 is: 21,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.56 : 77,650.07 = 14,322.50 : x
  2. Step 2: Convert to fraction form
    51,765.56/77,650.07 = 14,322.50/x
  3. Step 3: Cross multiply
    51,765.56x = 77,650.07 × 14,322.50
  4. Step 4: Simplify right side
    51,765.56x = 1,112,142,739.32
  5. Step 5: Solve for x
    x = 1,112,142,739.32/51,765.56
  6. Step 6: Final answer
    x = 21,484.22

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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.