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Finding the Fourth Proportional to 43,121.84, 64,682.69 and 13,541.99

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Solution

The fourth proportional to 43,121.84, 64,682.69 and 13,541.99 is: 20,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,121.84 : 64,682.69 = 13,541.99 : x
  2. Step 2: Convert to fraction form
    43,121.84/64,682.69 = 13,541.99/x
  3. Step 3: Cross multiply
    43,121.84x = 64,682.69 × 13,541.99
  4. Step 4: Simplify right side
    43,121.84x = 875,931,950.03
  5. Step 5: Solve for x
    x = 875,931,950.03/43,121.84
  6. Step 6: Final answer
    x = 20,312.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.