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Finding the Fourth Proportional to 35,838.98, 49,457.22 and 19,921.40

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Solution

The fourth proportional to 35,838.98, 49,457.22 and 19,921.40 is: 27,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.98 : 49,457.22 = 19,921.40 : x
  2. Step 2: Convert to fraction form
    35,838.98/49,457.22 = 19,921.40/x
  3. Step 3: Cross multiply
    35,838.98x = 49,457.22 × 19,921.40
  4. Step 4: Simplify right side
    35,838.98x = 985,257,062.51
  5. Step 5: Solve for x
    x = 985,257,062.51/35,838.98
  6. Step 6: Final answer
    x = 27,491.21

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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.