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Finding the Fourth Proportional to 30,716.84, 42,428.36 and 23,502.80

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Solution

The fourth proportional to 30,716.84, 42,428.36 and 23,502.80 is: 32,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.84 : 42,428.36 = 23,502.80 : x
  2. Step 2: Convert to fraction form
    30,716.84/42,428.36 = 23,502.80/x
  3. Step 3: Cross multiply
    30,716.84x = 42,428.36 × 23,502.80
  4. Step 4: Simplify right side
    30,716.84x = 997,185,259.41
  5. Step 5: Solve for x
    x = 997,185,259.41/30,716.84
  6. Step 6: Final answer
    x = 32,463.80

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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.