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Finding the Fourth Proportional to 38,744.68, 53,465.52 and 21,977.68

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Solution

The fourth proportional to 38,744.68, 53,465.52 and 21,977.68 is: 30,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.68 : 53,465.52 = 21,977.68 : x
  2. Step 2: Convert to fraction form
    38,744.68/53,465.52 = 21,977.68/x
  3. Step 3: Cross multiply
    38,744.68x = 53,465.52 × 21,977.68
  4. Step 4: Simplify right side
    38,744.68x = 1,175,048,089.59
  5. Step 5: Solve for x
    x = 1,175,048,089.59/38,744.68
  6. Step 6: Final answer
    x = 30,327.99

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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.