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Finding the Fourth Proportional to 35,812.53, 49,420.94 and 19,896.64

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Solution

The fourth proportional to 35,812.53, 49,420.94 and 19,896.64 is: 27,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.53 : 49,420.94 = 19,896.64 : x
  2. Step 2: Convert to fraction form
    35,812.53/49,420.94 = 19,896.64/x
  3. Step 3: Cross multiply
    35,812.53x = 49,420.94 × 19,896.64
  4. Step 4: Simplify right side
    35,812.53x = 983,310,428.61
  5. Step 5: Solve for x
    x = 983,310,428.61/35,812.53
  6. Step 6: Final answer
    x = 27,457.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.