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Finding the Fourth Proportional to 30,973.56, 42,698.49 and 22,895.30

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Solution

The fourth proportional to 30,973.56, 42,698.49 and 22,895.30 is: 31,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.56 : 42,698.49 = 22,895.30 : x
  2. Step 2: Convert to fraction form
    30,973.56/42,698.49 = 22,895.30/x
  3. Step 3: Cross multiply
    30,973.56x = 42,698.49 × 22,895.30
  4. Step 4: Simplify right side
    30,973.56x = 977,594,524.60
  5. Step 5: Solve for x
    x = 977,594,524.60/30,973.56
  6. Step 6: Final answer
    x = 31,562.23

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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.