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Finding the Fourth Proportional to 34,412.87, 47,484 and 20,268.51

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Solution

The fourth proportional to 34,412.87, 47,484 and 20,268.51 is: 27,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.87 : 47,484 = 20,268.51 : x
  2. Step 2: Convert to fraction form
    34,412.87/47,484 = 20,268.51/x
  3. Step 3: Cross multiply
    34,412.87x = 47,484 × 20,268.51
  4. Step 4: Simplify right side
    34,412.87x = 962,429,928.84
  5. Step 5: Solve for x
    x = 962,429,928.84/34,412.87
  6. Step 6: Final answer
    x = 27,967.15

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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.