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Finding the Fourth Proportional to 30,570.36, 42,205.50 and 19,977.72

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Solution

The fourth proportional to 30,570.36, 42,205.50 and 19,977.72 is: 27,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.36 : 42,205.50 = 19,977.72 : x
  2. Step 2: Convert to fraction form
    30,570.36/42,205.50 = 19,977.72/x
  3. Step 3: Cross multiply
    30,570.36x = 42,205.50 × 19,977.72
  4. Step 4: Simplify right side
    30,570.36x = 843,169,661.46
  5. Step 5: Solve for x
    x = 843,169,661.46/30,570.36
  6. Step 6: Final answer
    x = 27,581.28

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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.