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Finding the Fourth Proportional to 30,412.64, 41,957.88 and 22,473.92

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Solution

The fourth proportional to 30,412.64, 41,957.88 and 22,473.92 is: 31,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.64 : 41,957.88 = 22,473.92 : x
  2. Step 2: Convert to fraction form
    30,412.64/41,957.88 = 22,473.92/x
  3. Step 3: Cross multiply
    30,412.64x = 41,957.88 × 22,473.92
  4. Step 4: Simplify right side
    30,412.64x = 942,958,038.49
  5. Step 5: Solve for x
    x = 942,958,038.49/30,412.64
  6. Step 6: Final answer
    x = 31,005.46

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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.