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Finding the Fourth Proportional to 55,952.64, 77,214.24 and 30,801.60

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Solution

The fourth proportional to 55,952.64, 77,214.24 and 30,801.60 is: 42,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.64 : 77,214.24 = 30,801.60 : x
  2. Step 2: Convert to fraction form
    55,952.64/77,214.24 = 30,801.60/x
  3. Step 3: Cross multiply
    55,952.64x = 77,214.24 × 30,801.60
  4. Step 4: Simplify right side
    55,952.64x = 2,378,322,134.78
  5. Step 5: Solve for x
    x = 2,378,322,134.78/55,952.64
  6. Step 6: Final answer
    x = 42,505.99

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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.