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Finding the Fourth Proportional to 52,933.50, 73,054.71 and 30,577.50

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Solution

The fourth proportional to 52,933.50, 73,054.71 and 30,577.50 is: 42,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,933.50 : 73,054.71 = 30,577.50 : x
  2. Step 2: Convert to fraction form
    52,933.50/73,054.71 = 30,577.50/x
  3. Step 3: Cross multiply
    52,933.50x = 73,054.71 × 30,577.50
  4. Step 4: Simplify right side
    52,933.50x = 2,233,830,395.03
  5. Step 5: Solve for x
    x = 2,233,830,395.03/52,933.50
  6. Step 6: Final answer
    x = 42,200.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.