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Finding the Fourth Proportional to 30,754.94, 42,441.62 and 17,330.51

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Solution

The fourth proportional to 30,754.94, 42,441.62 and 17,330.51 is: 23,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.94 : 42,441.62 = 17,330.51 : x
  2. Step 2: Convert to fraction form
    30,754.94/42,441.62 = 17,330.51/x
  3. Step 3: Cross multiply
    30,754.94x = 42,441.62 × 17,330.51
  4. Step 4: Simplify right side
    30,754.94x = 735,535,069.26
  5. Step 5: Solve for x
    x = 735,535,069.26/30,754.94
  6. Step 6: Final answer
    x = 23,916.00

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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.