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Finding the Fourth Proportional to 33,857.84, 46,709.06 and 20,421.63

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Solution

The fourth proportional to 33,857.84, 46,709.06 and 20,421.63 is: 28,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.84 : 46,709.06 = 20,421.63 : x
  2. Step 2: Convert to fraction form
    33,857.84/46,709.06 = 20,421.63/x
  3. Step 3: Cross multiply
    33,857.84x = 46,709.06 × 20,421.63
  4. Step 4: Simplify right side
    33,857.84x = 953,875,038.86
  5. Step 5: Solve for x
    x = 953,875,038.86/33,857.84
  6. Step 6: Final answer
    x = 28,172.95

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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.