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Finding the Fourth Proportional to 33,534.40, 46,277.13 and 18,427

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Solution

The fourth proportional to 33,534.40, 46,277.13 and 18,427 is: 25,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.40 : 46,277.13 = 18,427 : x
  2. Step 2: Convert to fraction form
    33,534.40/46,277.13 = 18,427/x
  3. Step 3: Cross multiply
    33,534.40x = 46,277.13 × 18,427
  4. Step 4: Simplify right side
    33,534.40x = 852,748,674.51
  5. Step 5: Solve for x
    x = 852,748,674.51/33,534.40
  6. Step 6: Final answer
    x = 25,429.07

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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.